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Finding the Fourth Proportional to 9,643.20, 14,451.30 and 7,672.20

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Solution

The fourth proportional to 9,643.20, 14,451.30 and 7,672.20 is: 11,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.20 : 14,451.30 = 7,672.20 : x
  2. Step 2: Convert to fraction form
    9,643.20/14,451.30 = 7,672.20/x
  3. Step 3: Cross multiply
    9,643.20x = 14,451.30 × 7,672.20
  4. Step 4: Simplify right side
    9,643.20x = 110,873,263.86
  5. Step 5: Solve for x
    x = 110,873,263.86/9,643.20
  6. Step 6: Final answer
    x = 11,497.56

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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.