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Finding the Fourth Proportional to 2,842, 4,261.45 and 1,527.31

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Solution

The fourth proportional to 2,842, 4,261.45 and 1,527.31 is: 2,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842 : 4,261.45 = 1,527.31 : x
  2. Step 2: Convert to fraction form
    2,842/4,261.45 = 1,527.31/x
  3. Step 3: Cross multiply
    2,842x = 4,261.45 × 1,527.31
  4. Step 4: Simplify right side
    2,842x = 6,508,555.20
  5. Step 5: Solve for x
    x = 6,508,555.20/2,842
  6. Step 6: Final answer
    x = 2,290.13

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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.