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Finding the Fourth Proportional to 12,891.59, 17,771.37 and 10,055.78

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Solution

The fourth proportional to 12,891.59, 17,771.37 and 10,055.78 is: 13,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.59 : 17,771.37 = 10,055.78 : x
  2. Step 2: Convert to fraction form
    12,891.59/17,771.37 = 10,055.78/x
  3. Step 3: Cross multiply
    12,891.59x = 17,771.37 × 10,055.78
  4. Step 4: Simplify right side
    12,891.59x = 178,704,898.16
  5. Step 5: Solve for x
    x = 178,704,898.16/12,891.59
  6. Step 6: Final answer
    x = 13,862.14

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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.