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Finding the Fourth Proportional to 7,031.79, 9,725.13 and 6,284.43

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Solution

The fourth proportional to 7,031.79, 9,725.13 and 6,284.43 is: 8,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.79 : 9,725.13 = 6,284.43 : x
  2. Step 2: Convert to fraction form
    7,031.79/9,725.13 = 6,284.43/x
  3. Step 3: Cross multiply
    7,031.79x = 9,725.13 × 6,284.43
  4. Step 4: Simplify right side
    7,031.79x = 61,116,898.73
  5. Step 5: Solve for x
    x = 61,116,898.73/7,031.79
  6. Step 6: Final answer
    x = 8,691.51

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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.