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Finding the Fourth Proportional to 9,502.52, 14,248.31 and 5,609.66

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Solution

The fourth proportional to 9,502.52, 14,248.31 and 5,609.66 is: 8,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.52 : 14,248.31 = 5,609.66 : x
  2. Step 2: Convert to fraction form
    9,502.52/14,248.31 = 5,609.66/x
  3. Step 3: Cross multiply
    9,502.52x = 14,248.31 × 5,609.66
  4. Step 4: Simplify right side
    9,502.52x = 79,928,075.38
  5. Step 5: Solve for x
    x = 79,928,075.38/9,502.52
  6. Step 6: Final answer
    x = 8,411.25

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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.