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Finding the Fourth Proportional to 8,077.76, 12,116.40 and 2,880

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Solution

The fourth proportional to 8,077.76, 12,116.40 and 2,880 is: 4,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.76 : 12,116.40 = 2,880 : x
  2. Step 2: Convert to fraction form
    8,077.76/12,116.40 = 2,880/x
  3. Step 3: Cross multiply
    8,077.76x = 12,116.40 × 2,880
  4. Step 4: Simplify right side
    8,077.76x = 34,895,232
  5. Step 5: Solve for x
    x = 34,895,232/8,077.76
  6. Step 6: Final answer
    x = 4,319.91

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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.