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Finding the Fourth Proportional to 9,916.80, 14,883.60 and 4,077.60

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Solution

The fourth proportional to 9,916.80, 14,883.60 and 4,077.60 is: 6,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.80 : 14,883.60 = 4,077.60 : x
  2. Step 2: Convert to fraction form
    9,916.80/14,883.60 = 4,077.60/x
  3. Step 3: Cross multiply
    9,916.80x = 14,883.60 × 4,077.60
  4. Step 4: Simplify right side
    9,916.80x = 60,689,367.36
  5. Step 5: Solve for x
    x = 60,689,367.36/9,916.80
  6. Step 6: Final answer
    x = 6,119.85

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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.