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Finding the Fourth Proportional to 18,320.80, 27,494.16 and 10,423.84

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Solution

The fourth proportional to 18,320.80, 27,494.16 and 10,423.84 is: 15,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,320.80 : 27,494.16 = 10,423.84 : x
  2. Step 2: Convert to fraction form
    18,320.80/27,494.16 = 10,423.84/x
  3. Step 3: Cross multiply
    18,320.80x = 27,494.16 × 10,423.84
  4. Step 4: Simplify right side
    18,320.80x = 286,594,724.77
  5. Step 5: Solve for x
    x = 286,594,724.77/18,320.80
  6. Step 6: Final answer
    x = 15,643.13

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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.