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Finding the Fourth Proportional to 9,199.52, 12,689.68 and 8,023.40

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Solution

The fourth proportional to 9,199.52, 12,689.68 and 8,023.40 is: 11,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.52 : 12,689.68 = 8,023.40 : x
  2. Step 2: Convert to fraction form
    9,199.52/12,689.68 = 8,023.40/x
  3. Step 3: Cross multiply
    9,199.52x = 12,689.68 × 8,023.40
  4. Step 4: Simplify right side
    9,199.52x = 101,814,378.51
  5. Step 5: Solve for x
    x = 101,814,378.51/9,199.52
  6. Step 6: Final answer
    x = 11,067.36

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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.