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Finding the Fourth Proportional to 2,292.14, 3,438.22 and 560.76

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Solution

The fourth proportional to 2,292.14, 3,438.22 and 560.76 is: 841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.14 : 3,438.22 = 560.76 : x
  2. Step 2: Convert to fraction form
    2,292.14/3,438.22 = 560.76/x
  3. Step 3: Cross multiply
    2,292.14x = 3,438.22 × 560.76
  4. Step 4: Simplify right side
    2,292.14x = 1,928,016.25
  5. Step 5: Solve for x
    x = 1,928,016.25/2,292.14
  6. Step 6: Final answer
    x = 841.14

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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.