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Finding the Fourth Proportional to 9,762, 13,472.62 and 6,407.52

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Solution

The fourth proportional to 9,762, 13,472.62 and 6,407.52 is: 8,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762 : 13,472.62 = 6,407.52 : x
  2. Step 2: Convert to fraction form
    9,762/13,472.62 = 6,407.52/x
  3. Step 3: Cross multiply
    9,762x = 13,472.62 × 6,407.52
  4. Step 4: Simplify right side
    9,762x = 86,326,082.10
  5. Step 5: Solve for x
    x = 86,326,082.10/9,762
  6. Step 6: Final answer
    x = 8,843.07

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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.