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Finding the Fourth Proportional to 17,865, 24,654.45 and 9,907.23

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Solution

The fourth proportional to 17,865, 24,654.45 and 9,907.23 is: 13,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865 : 24,654.45 = 9,907.23 : x
  2. Step 2: Convert to fraction form
    17,865/24,654.45 = 9,907.23/x
  3. Step 3: Cross multiply
    17,865x = 24,654.45 × 9,907.23
  4. Step 4: Simplify right side
    17,865x = 244,257,306.67
  5. Step 5: Solve for x
    x = 244,257,306.67/17,865
  6. Step 6: Final answer
    x = 13,672.39

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1.5x scale

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.