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Finding the Fourth Proportional to 2,921.46, 4,381.10 and 840.76

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Solution

The fourth proportional to 2,921.46, 4,381.10 and 840.76 is: 1,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.46 : 4,381.10 = 840.76 : x
  2. Step 2: Convert to fraction form
    2,921.46/4,381.10 = 840.76/x
  3. Step 3: Cross multiply
    2,921.46x = 4,381.10 × 840.76
  4. Step 4: Simplify right side
    2,921.46x = 3,683,438.42
  5. Step 5: Solve for x
    x = 3,683,438.42/2,921.46
  6. Step 6: Final answer
    x = 1,260.82

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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.