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Finding the Fourth Proportional to 12,638.54, 17,439.99 and 7,332.14

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Solution

The fourth proportional to 12,638.54, 17,439.99 and 7,332.14 is: 10,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.54 : 17,439.99 = 7,332.14 : x
  2. Step 2: Convert to fraction form
    12,638.54/17,439.99 = 7,332.14/x
  3. Step 3: Cross multiply
    12,638.54x = 17,439.99 × 7,332.14
  4. Step 4: Simplify right side
    12,638.54x = 127,872,448.28
  5. Step 5: Solve for x
    x = 127,872,448.28/12,638.54
  6. Step 6: Final answer
    x = 10,117.66

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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.