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Finding the Fourth Proportional to 9,216, 12,723.84 and 5,909.76

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Solution

The fourth proportional to 9,216, 12,723.84 and 5,909.76 is: 8,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216 : 12,723.84 = 5,909.76 : x
  2. Step 2: Convert to fraction form
    9,216/12,723.84 = 5,909.76/x
  3. Step 3: Cross multiply
    9,216x = 12,723.84 × 5,909.76
  4. Step 4: Simplify right side
    9,216x = 75,194,840.68
  5. Step 5: Solve for x
    x = 75,194,840.68/9,216
  6. Step 6: Final answer
    x = 8,159.16

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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.