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Finding the Fourth Proportional to 38,882, 58,331.64 and 14,258

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Solution

The fourth proportional to 38,882, 58,331.64 and 14,258 is: 21,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,882 : 58,331.64 = 14,258 : x
  2. Step 2: Convert to fraction form
    38,882/58,331.64 = 14,258/x
  3. Step 3: Cross multiply
    38,882x = 58,331.64 × 14,258
  4. Step 4: Simplify right side
    38,882x = 831,692,523.12
  5. Step 5: Solve for x
    x = 831,692,523.12/38,882
  6. Step 6: Final answer
    x = 21,390.17

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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.