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Finding the Fourth Proportional to 12,740.92, 17,591.02 and 9,751.40

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Solution

The fourth proportional to 12,740.92, 17,591.02 and 9,751.40 is: 13,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.92 : 17,591.02 = 9,751.40 : x
  2. Step 2: Convert to fraction form
    12,740.92/17,591.02 = 9,751.40/x
  3. Step 3: Cross multiply
    12,740.92x = 17,591.02 × 9,751.40
  4. Step 4: Simplify right side
    12,740.92x = 171,537,072.43
  5. Step 5: Solve for x
    x = 171,537,072.43/12,740.92
  6. Step 6: Final answer
    x = 13,463.48

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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.