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Finding the Fourth Proportional to 38,969.76, 58,448.88 and 14,340

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Solution

The fourth proportional to 38,969.76, 58,448.88 and 14,340 is: 21,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,969.76 : 58,448.88 = 14,340 : x
  2. Step 2: Convert to fraction form
    38,969.76/58,448.88 = 14,340/x
  3. Step 3: Cross multiply
    38,969.76x = 58,448.88 × 14,340
  4. Step 4: Simplify right side
    38,969.76x = 838,156,939.20
  5. Step 5: Solve for x
    x = 838,156,939.20/38,969.76
  6. Step 6: Final answer
    x = 21,507.88

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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.