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Finding the Fourth Proportional to 18,418, 25,417.12 and 10,034.50

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Solution

The fourth proportional to 18,418, 25,417.12 and 10,034.50 is: 13,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,418 : 25,417.12 = 10,034.50 : x
  2. Step 2: Convert to fraction form
    18,418/25,417.12 = 10,034.50/x
  3. Step 3: Cross multiply
    18,418x = 25,417.12 × 10,034.50
  4. Step 4: Simplify right side
    18,418x = 255,048,090.64
  5. Step 5: Solve for x
    x = 255,048,090.64/18,418
  6. Step 6: Final answer
    x = 13,847.76

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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.