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Finding the Fourth Proportional to 6,985.68, 9,641.28 and 4,002.16

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Solution

The fourth proportional to 6,985.68, 9,641.28 and 4,002.16 is: 5,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.68 : 9,641.28 = 4,002.16 : x
  2. Step 2: Convert to fraction form
    6,985.68/9,641.28 = 4,002.16/x
  3. Step 3: Cross multiply
    6,985.68x = 9,641.28 × 4,002.16
  4. Step 4: Simplify right side
    6,985.68x = 38,585,945.16
  5. Step 5: Solve for x
    x = 38,585,945.16/6,985.68
  6. Step 6: Final answer
    x = 5,523.58

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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.