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Finding the Fourth Proportional to 1,581.02, 2,372.20 and 931.76

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Solution

The fourth proportional to 1,581.02, 2,372.20 and 931.76 is: 1,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.02 : 2,372.20 = 931.76 : x
  2. Step 2: Convert to fraction form
    1,581.02/2,372.20 = 931.76/x
  3. Step 3: Cross multiply
    1,581.02x = 2,372.20 × 931.76
  4. Step 4: Simplify right side
    1,581.02x = 2,210,321.07
  5. Step 5: Solve for x
    x = 2,210,321.07/1,581.02
  6. Step 6: Final answer
    x = 1,398.03

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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.