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Finding the Fourth Proportional to 18,142, 25,034.76 and 10,075.60

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Solution

The fourth proportional to 18,142, 25,034.76 and 10,075.60 is: 13,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142 : 25,034.76 = 10,075.60 : x
  2. Step 2: Convert to fraction form
    18,142/25,034.76 = 10,075.60/x
  3. Step 3: Cross multiply
    18,142x = 25,034.76 × 10,075.60
  4. Step 4: Simplify right side
    18,142x = 252,240,227.86
  5. Step 5: Solve for x
    x = 252,240,227.86/18,142
  6. Step 6: Final answer
    x = 13,903.66

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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.