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Finding the Fourth Proportional to 9,689.87, 13,390.38 and 8,254.04

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Solution

The fourth proportional to 9,689.87, 13,390.38 and 8,254.04 is: 11,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.87 : 13,390.38 = 8,254.04 : x
  2. Step 2: Convert to fraction form
    9,689.87/13,390.38 = 8,254.04/x
  3. Step 3: Cross multiply
    9,689.87x = 13,390.38 × 8,254.04
  4. Step 4: Simplify right side
    9,689.87x = 110,524,665.18
  5. Step 5: Solve for x
    x = 110,524,665.18/9,689.87
  6. Step 6: Final answer
    x = 11,406.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.