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Finding the Fourth Proportional to 12,641.04, 17,443.08 and 8,442

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Solution

The fourth proportional to 12,641.04, 17,443.08 and 8,442 is: 11,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.04 : 17,443.08 = 8,442 : x
  2. Step 2: Convert to fraction form
    12,641.04/17,443.08 = 8,442/x
  3. Step 3: Cross multiply
    12,641.04x = 17,443.08 × 8,442
  4. Step 4: Simplify right side
    12,641.04x = 147,254,481.36
  5. Step 5: Solve for x
    x = 147,254,481.36/12,641.04
  6. Step 6: Final answer
    x = 11,648.92

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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.