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Finding the Fourth Proportional to 3,068.62, 4,602.27 and 876.76

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Solution

The fourth proportional to 3,068.62, 4,602.27 and 876.76 is: 1,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.62 : 4,602.27 = 876.76 : x
  2. Step 2: Convert to fraction form
    3,068.62/4,602.27 = 876.76/x
  3. Step 3: Cross multiply
    3,068.62x = 4,602.27 × 876.76
  4. Step 4: Simplify right side
    3,068.62x = 4,035,086.25
  5. Step 5: Solve for x
    x = 4,035,086.25/3,068.62
  6. Step 6: Final answer
    x = 1,314.95

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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.