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Finding the Fourth Proportional to 12,648.59, 17,461.03 and 11,449.16

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Solution

The fourth proportional to 12,648.59, 17,461.03 and 11,449.16 is: 15,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.59 : 17,461.03 = 11,449.16 : x
  2. Step 2: Convert to fraction form
    12,648.59/17,461.03 = 11,449.16/x
  3. Step 3: Cross multiply
    12,648.59x = 17,461.03 × 11,449.16
  4. Step 4: Simplify right side
    12,648.59x = 199,914,126.23
  5. Step 5: Solve for x
    x = 199,914,126.23/12,648.59
  6. Step 6: Final answer
    x = 15,805.25

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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.