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Finding the Fourth Proportional to 19,782, 29,635.92 and 9,909.72

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Solution

The fourth proportional to 19,782, 29,635.92 and 9,909.72 is: 14,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782 : 29,635.92 = 9,909.72 : x
  2. Step 2: Convert to fraction form
    19,782/29,635.92 = 9,909.72/x
  3. Step 3: Cross multiply
    19,782x = 29,635.92 × 9,909.72
  4. Step 4: Simplify right side
    19,782x = 293,683,669.14
  5. Step 5: Solve for x
    x = 293,683,669.14/19,782
  6. Step 6: Final answer
    x = 14,846.00

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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.