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Finding the Fourth Proportional to 12,951.68, 17,871.12 and 7,644.56

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Solution

The fourth proportional to 12,951.68, 17,871.12 and 7,644.56 is: 10,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.68 : 17,871.12 = 7,644.56 : x
  2. Step 2: Convert to fraction form
    12,951.68/17,871.12 = 7,644.56/x
  3. Step 3: Cross multiply
    12,951.68x = 17,871.12 × 7,644.56
  4. Step 4: Simplify right side
    12,951.68x = 136,616,849.11
  5. Step 5: Solve for x
    x = 136,616,849.11/12,951.68
  6. Step 6: Final answer
    x = 10,548.20

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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.