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Finding the Fourth Proportional to 2,920.73, 4,381.76 and 840.75

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Solution

The fourth proportional to 2,920.73, 4,381.76 and 840.75 is: 1,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.73 : 4,381.76 = 840.75 : x
  2. Step 2: Convert to fraction form
    2,920.73/4,381.76 = 840.75/x
  3. Step 3: Cross multiply
    2,920.73x = 4,381.76 × 840.75
  4. Step 4: Simplify right side
    2,920.73x = 3,683,964.72
  5. Step 5: Solve for x
    x = 3,683,964.72/2,920.73
  6. Step 6: Final answer
    x = 1,261.32

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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.