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Finding the Fourth Proportional to 5,880.80, 8,808.40 and 3,807.20

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Solution

The fourth proportional to 5,880.80, 8,808.40 and 3,807.20 is: 5,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.80 : 8,808.40 = 3,807.20 : x
  2. Step 2: Convert to fraction form
    5,880.80/8,808.40 = 3,807.20/x
  3. Step 3: Cross multiply
    5,880.80x = 8,808.40 × 3,807.20
  4. Step 4: Simplify right side
    5,880.80x = 33,535,340.48
  5. Step 5: Solve for x
    x = 33,535,340.48/5,880.80
  6. Step 6: Final answer
    x = 5,702.51

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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.