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Finding the Fourth Proportional to 9,403.66, 12,972.63 and 5,423.32

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Solution

The fourth proportional to 9,403.66, 12,972.63 and 5,423.32 is: 7,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.66 : 12,972.63 = 5,423.32 : x
  2. Step 2: Convert to fraction form
    9,403.66/12,972.63 = 5,423.32/x
  3. Step 3: Cross multiply
    9,403.66x = 12,972.63 × 5,423.32
  4. Step 4: Simplify right side
    9,403.66x = 70,354,723.73
  5. Step 5: Solve for x
    x = 70,354,723.73/9,403.66
  6. Step 6: Final answer
    x = 7,481.63

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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.