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Finding the Fourth Proportional to 13,598.60, 20,397.90 and 7,766.60

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Solution

The fourth proportional to 13,598.60, 20,397.90 and 7,766.60 is: 11,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.60 : 20,397.90 = 7,766.60 : x
  2. Step 2: Convert to fraction form
    13,598.60/20,397.90 = 7,766.60/x
  3. Step 3: Cross multiply
    13,598.60x = 20,397.90 × 7,766.60
  4. Step 4: Simplify right side
    13,598.60x = 158,422,330.14
  5. Step 5: Solve for x
    x = 158,422,330.14/13,598.60
  6. Step 6: Final answer
    x = 11,649.90

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1.5x scale

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.