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Finding the Fourth Proportional to 19,778.64, 29,683.08 and 14,586

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Solution

The fourth proportional to 19,778.64, 29,683.08 and 14,586 is: 21,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.64 : 29,683.08 = 14,586 : x
  2. Step 2: Convert to fraction form
    19,778.64/29,683.08 = 14,586/x
  3. Step 3: Cross multiply
    19,778.64x = 29,683.08 × 14,586
  4. Step 4: Simplify right side
    19,778.64x = 432,957,404.88
  5. Step 5: Solve for x
    x = 432,957,404.88/19,778.64
  6. Step 6: Final answer
    x = 21,890.15

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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.