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Finding the Fourth Proportional to 38,957.76, 58,430.88 and 14,328

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Solution

The fourth proportional to 38,957.76, 58,430.88 and 14,328 is: 21,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,957.76 : 58,430.88 = 14,328 : x
  2. Step 2: Convert to fraction form
    38,957.76/58,430.88 = 14,328/x
  3. Step 3: Cross multiply
    38,957.76x = 58,430.88 × 14,328
  4. Step 4: Simplify right side
    38,957.76x = 837,197,648.64
  5. Step 5: Solve for x
    x = 837,197,648.64/38,957.76
  6. Step 6: Final answer
    x = 21,489.88

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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.