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Finding the Fourth Proportional to 10,356.32, 14,286.92 and 7,001.30

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Solution

The fourth proportional to 10,356.32, 14,286.92 and 7,001.30 is: 9,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.32 : 14,286.92 = 7,001.30 : x
  2. Step 2: Convert to fraction form
    10,356.32/14,286.92 = 7,001.30/x
  3. Step 3: Cross multiply
    10,356.32x = 14,286.92 × 7,001.30
  4. Step 4: Simplify right side
    10,356.32x = 100,027,013.00
  5. Step 5: Solve for x
    x = 100,027,013.00/10,356.32
  6. Step 6: Final answer
    x = 9,658.55

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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.