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Finding the Fourth Proportional to 18,665.12, 25,758 and 10,281.76

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Solution

The fourth proportional to 18,665.12, 25,758 and 10,281.76 is: 14,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665.12 : 25,758 = 10,281.76 : x
  2. Step 2: Convert to fraction form
    18,665.12/25,758 = 10,281.76/x
  3. Step 3: Cross multiply
    18,665.12x = 25,758 × 10,281.76
  4. Step 4: Simplify right side
    18,665.12x = 264,837,574.08
  5. Step 5: Solve for x
    x = 264,837,574.08/18,665.12
  6. Step 6: Final answer
    x = 14,188.90

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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.