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Finding the Fourth Proportional to 2,185.62, 3,278.91 and 646.74

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Solution

The fourth proportional to 2,185.62, 3,278.91 and 646.74 is: 970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.62 : 3,278.91 = 646.74 : x
  2. Step 2: Convert to fraction form
    2,185.62/3,278.91 = 646.74/x
  3. Step 3: Cross multiply
    2,185.62x = 3,278.91 × 646.74
  4. Step 4: Simplify right side
    2,185.62x = 2,120,602.25
  5. Step 5: Solve for x
    x = 2,120,602.25/2,185.62
  6. Step 6: Final answer
    x = 970.25

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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.