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Finding the Fourth Proportional to 27,187.76, 40,844.04 and 19,309.70

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Solution

The fourth proportional to 27,187.76, 40,844.04 and 19,309.70 is: 29,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,187.76 : 40,844.04 = 19,309.70 : x
  2. Step 2: Convert to fraction form
    27,187.76/40,844.04 = 19,309.70/x
  3. Step 3: Cross multiply
    27,187.76x = 40,844.04 × 19,309.70
  4. Step 4: Simplify right side
    27,187.76x = 788,686,159.19
  5. Step 5: Solve for x
    x = 788,686,159.19/27,187.76
  6. Step 6: Final answer
    x = 29,008.87

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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.