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Finding the Fourth Proportional to 1,250.42, 1,871.84 and 1,004.90

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Solution

The fourth proportional to 1,250.42, 1,871.84 and 1,004.90 is: 1,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.42 : 1,871.84 = 1,004.90 : x
  2. Step 2: Convert to fraction form
    1,250.42/1,871.84 = 1,004.90/x
  3. Step 3: Cross multiply
    1,250.42x = 1,871.84 × 1,004.90
  4. Step 4: Simplify right side
    1,250.42x = 1,881,012.02
  5. Step 5: Solve for x
    x = 1,881,012.02/1,250.42
  6. Step 6: Final answer
    x = 1,504.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.