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Finding the Fourth Proportional to 27,139.60, 40,687.80 and 11,544.40

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Solution

The fourth proportional to 27,139.60, 40,687.80 and 11,544.40 is: 17,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,139.60 : 40,687.80 = 11,544.40 : x
  2. Step 2: Convert to fraction form
    27,139.60/40,687.80 = 11,544.40/x
  3. Step 3: Cross multiply
    27,139.60x = 40,687.80 × 11,544.40
  4. Step 4: Simplify right side
    27,139.60x = 469,716,238.32
  5. Step 5: Solve for x
    x = 469,716,238.32/27,139.60
  6. Step 6: Final answer
    x = 17,307.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.