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Finding the Fourth Proportional to 1,581.56, 2,372.34 and 901.88

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Solution

The fourth proportional to 1,581.56, 2,372.34 and 901.88 is: 1,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.56 : 2,372.34 = 901.88 : x
  2. Step 2: Convert to fraction form
    1,581.56/2,372.34 = 901.88/x
  3. Step 3: Cross multiply
    1,581.56x = 2,372.34 × 901.88
  4. Step 4: Simplify right side
    1,581.56x = 2,139,566.00
  5. Step 5: Solve for x
    x = 2,139,566.00/1,581.56
  6. Step 6: Final answer
    x = 1,352.82

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1.5x scale

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.