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Finding the Fourth Proportional to 8,702.71, 13,054.04 and 3,156.04

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Solution

The fourth proportional to 8,702.71, 13,054.04 and 3,156.04 is: 4,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.71 : 13,054.04 = 3,156.04 : x
  2. Step 2: Convert to fraction form
    8,702.71/13,054.04 = 3,156.04/x
  3. Step 3: Cross multiply
    8,702.71x = 13,054.04 × 3,156.04
  4. Step 4: Simplify right side
    8,702.71x = 41,199,029.10
  5. Step 5: Solve for x
    x = 41,199,029.10/8,702.71
  6. Step 6: Final answer
    x = 4,734.05

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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.