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Finding the Fourth Proportional to 8,505.73, 12,734.63 and 6,419.10

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Solution

The fourth proportional to 8,505.73, 12,734.63 and 6,419.10 is: 9,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.73 : 12,734.63 = 6,419.10 : x
  2. Step 2: Convert to fraction form
    8,505.73/12,734.63 = 6,419.10/x
  3. Step 3: Cross multiply
    8,505.73x = 12,734.63 × 6,419.10
  4. Step 4: Simplify right side
    8,505.73x = 81,744,831.34
  5. Step 5: Solve for x
    x = 81,744,831.34/8,505.73
  6. Step 6: Final answer
    x = 9,610.57

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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.