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Finding the Fourth Proportional to 27,458, 37,862 and 17,880.24

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Solution

The fourth proportional to 27,458, 37,862 and 17,880.24 is: 24,655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458 : 37,862 = 17,880.24 : x
  2. Step 2: Convert to fraction form
    27,458/37,862 = 17,880.24/x
  3. Step 3: Cross multiply
    27,458x = 37,862 × 17,880.24
  4. Step 4: Simplify right side
    27,458x = 676,981,646.88
  5. Step 5: Solve for x
    x = 676,981,646.88/27,458
  6. Step 6: Final answer
    x = 24,655.17

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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.