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Finding the Fourth Proportional to 10,502.46, 15,739.65 and 7,716.06

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Solution

The fourth proportional to 10,502.46, 15,739.65 and 7,716.06 is: 11,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.46 : 15,739.65 = 7,716.06 : x
  2. Step 2: Convert to fraction form
    10,502.46/15,739.65 = 7,716.06/x
  3. Step 3: Cross multiply
    10,502.46x = 15,739.65 × 7,716.06
  4. Step 4: Simplify right side
    10,502.46x = 121,448,083.78
  5. Step 5: Solve for x
    x = 121,448,083.78/10,502.46
  6. Step 6: Final answer
    x = 11,563.77

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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.