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Finding the Fourth Proportional to 12,616.40, 17,412.66 and 7,314.28

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Solution

The fourth proportional to 12,616.40, 17,412.66 and 7,314.28 is: 10,094.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.40 : 17,412.66 = 7,314.28 : x
  2. Step 2: Convert to fraction form
    12,616.40/17,412.66 = 7,314.28/x
  3. Step 3: Cross multiply
    12,616.40x = 17,412.66 × 7,314.28
  4. Step 4: Simplify right side
    12,616.40x = 127,361,070.78
  5. Step 5: Solve for x
    x = 127,361,070.78/12,616.40
  6. Step 6: Final answer
    x = 10,094.88

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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.