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Finding the Fourth Proportional to 19,580.08, 29,348 and 9,726.40

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Solution

The fourth proportional to 19,580.08, 29,348 and 9,726.40 is: 14,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580.08 : 29,348 = 9,726.40 : x
  2. Step 2: Convert to fraction form
    19,580.08/29,348 = 9,726.40/x
  3. Step 3: Cross multiply
    19,580.08x = 29,348 × 9,726.40
  4. Step 4: Simplify right side
    19,580.08x = 285,450,387.20
  5. Step 5: Solve for x
    x = 285,450,387.20/19,580.08
  6. Step 6: Final answer
    x = 14,578.61

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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.