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Finding the Fourth Proportional to 1,528.75, 2,110.97 and 970.21

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Solution

The fourth proportional to 1,528.75, 2,110.97 and 970.21 is: 1,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.75 : 2,110.97 = 970.21 : x
  2. Step 2: Convert to fraction form
    1,528.75/2,110.97 = 970.21/x
  3. Step 3: Cross multiply
    1,528.75x = 2,110.97 × 970.21
  4. Step 4: Simplify right side
    1,528.75x = 2,048,084.20
  5. Step 5: Solve for x
    x = 2,048,084.20/1,528.75
  6. Step 6: Final answer
    x = 1,339.71

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.