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Finding the Fourth Proportional to 17,370.72, 23,972.88 and 9,817.92

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Solution

The fourth proportional to 17,370.72, 23,972.88 and 9,817.92 is: 13,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,370.72 : 23,972.88 = 9,817.92 : x
  2. Step 2: Convert to fraction form
    17,370.72/23,972.88 = 9,817.92/x
  3. Step 3: Cross multiply
    17,370.72x = 23,972.88 × 9,817.92
  4. Step 4: Simplify right side
    17,370.72x = 235,363,818.01
  5. Step 5: Solve for x
    x = 235,363,818.01/17,370.72
  6. Step 6: Final answer
    x = 13,549.46

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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.