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Finding the Fourth Proportional to 51,460, 71,014.80 and 27,908

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Solution

The fourth proportional to 51,460, 71,014.80 and 27,908 is: 38,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460 : 71,014.80 = 27,908 : x
  2. Step 2: Convert to fraction form
    51,460/71,014.80 = 27,908/x
  3. Step 3: Cross multiply
    51,460x = 71,014.80 × 27,908
  4. Step 4: Simplify right side
    51,460x = 1,981,881,038.40
  5. Step 5: Solve for x
    x = 1,981,881,038.40/51,460
  6. Step 6: Final answer
    x = 38,513.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.