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Finding the Fourth Proportional to 8,702.10, 13,055.40 and 3,770.60

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Solution

The fourth proportional to 8,702.10, 13,055.40 and 3,770.60 is: 5,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.10 : 13,055.40 = 3,770.60 : x
  2. Step 2: Convert to fraction form
    8,702.10/13,055.40 = 3,770.60/x
  3. Step 3: Cross multiply
    8,702.10x = 13,055.40 × 3,770.60
  4. Step 4: Simplify right side
    8,702.10x = 49,226,625.96
  5. Step 5: Solve for x
    x = 49,226,625.96/8,702.10
  6. Step 6: Final answer
    x = 5,656.87

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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.