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Finding the Fourth Proportional to 3,141.83, 4,710.80 and 1,061.63

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Solution

The fourth proportional to 3,141.83, 4,710.80 and 1,061.63 is: 1,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.83 : 4,710.80 = 1,061.63 : x
  2. Step 2: Convert to fraction form
    3,141.83/4,710.80 = 1,061.63/x
  3. Step 3: Cross multiply
    3,141.83x = 4,710.80 × 1,061.63
  4. Step 4: Simplify right side
    3,141.83x = 5,001,141.04
  5. Step 5: Solve for x
    x = 5,001,141.04/3,141.83
  6. Step 6: Final answer
    x = 1,591.79

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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.