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Finding the Fourth Proportional to 8,702.40, 13,055.76 and 4,080

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Solution

The fourth proportional to 8,702.40, 13,055.76 and 4,080 is: 6,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.40 : 13,055.76 = 4,080 : x
  2. Step 2: Convert to fraction form
    8,702.40/13,055.76 = 4,080/x
  3. Step 3: Cross multiply
    8,702.40x = 13,055.76 × 4,080
  4. Step 4: Simplify right side
    8,702.40x = 53,267,500.80
  5. Step 5: Solve for x
    x = 53,267,500.80/8,702.40
  6. Step 6: Final answer
    x = 6,121.01

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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.