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Finding the Fourth Proportional to 12,585.96, 17,366.94 and 7,278.84

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Solution

The fourth proportional to 12,585.96, 17,366.94 and 7,278.84 is: 10,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.96 : 17,366.94 = 7,278.84 : x
  2. Step 2: Convert to fraction form
    12,585.96/17,366.94 = 7,278.84/x
  3. Step 3: Cross multiply
    12,585.96x = 17,366.94 × 7,278.84
  4. Step 4: Simplify right side
    12,585.96x = 126,411,177.55
  5. Step 5: Solve for x
    x = 126,411,177.55/12,585.96
  6. Step 6: Final answer
    x = 10,043.82

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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.