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Finding the Fourth Proportional to 18,681.92, 25,782.24 and 10,299.20

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Solution

The fourth proportional to 18,681.92, 25,782.24 and 10,299.20 is: 14,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681.92 : 25,782.24 = 10,299.20 : x
  2. Step 2: Convert to fraction form
    18,681.92/25,782.24 = 10,299.20/x
  3. Step 3: Cross multiply
    18,681.92x = 25,782.24 × 10,299.20
  4. Step 4: Simplify right side
    18,681.92x = 265,536,446.21
  5. Step 5: Solve for x
    x = 265,536,446.21/18,681.92
  6. Step 6: Final answer
    x = 14,213.55

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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.