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Finding the Fourth Proportional to 1,247.42, 1,873.29 and 1,031.42

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Solution

The fourth proportional to 1,247.42, 1,873.29 and 1,031.42 is: 1,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.42 : 1,873.29 = 1,031.42 : x
  2. Step 2: Convert to fraction form
    1,247.42/1,873.29 = 1,031.42/x
  3. Step 3: Cross multiply
    1,247.42x = 1,873.29 × 1,031.42
  4. Step 4: Simplify right side
    1,247.42x = 1,932,139.41
  5. Step 5: Solve for x
    x = 1,932,139.41/1,247.42
  6. Step 6: Final answer
    x = 1,548.91

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