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Finding the Fourth Proportional to 9,432.39, 13,015.86 and 5,183.40

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Solution

The fourth proportional to 9,432.39, 13,015.86 and 5,183.40 is: 7,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.39 : 13,015.86 = 5,183.40 : x
  2. Step 2: Convert to fraction form
    9,432.39/13,015.86 = 5,183.40/x
  3. Step 3: Cross multiply
    9,432.39x = 13,015.86 × 5,183.40
  4. Step 4: Simplify right side
    9,432.39x = 67,466,438.10
  5. Step 5: Solve for x
    x = 67,466,438.10/9,432.39
  6. Step 6: Final answer
    x = 7,152.63

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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.