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Finding the Fourth Proportional to 18,670, 25,764.60 and 10,287.04

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Solution

The fourth proportional to 18,670, 25,764.60 and 10,287.04 is: 14,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,670 : 25,764.60 = 10,287.04 : x
  2. Step 2: Convert to fraction form
    18,670/25,764.60 = 10,287.04/x
  3. Step 3: Cross multiply
    18,670x = 25,764.60 × 10,287.04
  4. Step 4: Simplify right side
    18,670x = 265,041,470.78
  5. Step 5: Solve for x
    x = 265,041,470.78/18,670
  6. Step 6: Final answer
    x = 14,196.12

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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.