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Finding the Fourth Proportional to 3,920.06, 5,880.10 and 1,323.06

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Solution

The fourth proportional to 3,920.06, 5,880.10 and 1,323.06 is: 1,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.06 : 5,880.10 = 1,323.06 : x
  2. Step 2: Convert to fraction form
    3,920.06/5,880.10 = 1,323.06/x
  3. Step 3: Cross multiply
    3,920.06x = 5,880.10 × 1,323.06
  4. Step 4: Simplify right side
    3,920.06x = 7,779,725.11
  5. Step 5: Solve for x
    x = 7,779,725.11/3,920.06
  6. Step 6: Final answer
    x = 1,984.59

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.