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Finding the Fourth Proportional to 9,137.60, 13,706.40 and 2,564.90

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Solution

The fourth proportional to 9,137.60, 13,706.40 and 2,564.90 is: 3,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.60 : 13,706.40 = 2,564.90 : x
  2. Step 2: Convert to fraction form
    9,137.60/13,706.40 = 2,564.90/x
  3. Step 3: Cross multiply
    9,137.60x = 13,706.40 × 2,564.90
  4. Step 4: Simplify right side
    9,137.60x = 35,155,545.36
  5. Step 5: Solve for x
    x = 35,155,545.36/9,137.60
  6. Step 6: Final answer
    x = 3,847.35

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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.