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Finding the Fourth Proportional to 1,534.72, 2,301.12 and 851.20

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Solution

The fourth proportional to 1,534.72, 2,301.12 and 851.20 is: 1,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.72 : 2,301.12 = 851.20 : x
  2. Step 2: Convert to fraction form
    1,534.72/2,301.12 = 851.20/x
  3. Step 3: Cross multiply
    1,534.72x = 2,301.12 × 851.20
  4. Step 4: Simplify right side
    1,534.72x = 1,958,713.34
  5. Step 5: Solve for x
    x = 1,958,713.34/1,534.72
  6. Step 6: Final answer
    x = 1,276.27

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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.