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Finding the Fourth Proportional to 25,624, 38,417.28 and 17,283.28

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Solution

The fourth proportional to 25,624, 38,417.28 and 17,283.28 is: 25,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,624 : 38,417.28 = 17,283.28 : x
  2. Step 2: Convert to fraction form
    25,624/38,417.28 = 17,283.28/x
  3. Step 3: Cross multiply
    25,624x = 38,417.28 × 17,283.28
  4. Step 4: Simplify right side
    25,624x = 663,976,607.08
  5. Step 5: Solve for x
    x = 663,976,607.08/25,624
  6. Step 6: Final answer
    x = 25,912.29

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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.