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Finding the Fourth Proportional to 9,527.45, 13,148.78 and 5,494.38

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Solution

The fourth proportional to 9,527.45, 13,148.78 and 5,494.38 is: 7,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.45 : 13,148.78 = 5,494.38 : x
  2. Step 2: Convert to fraction form
    9,527.45/13,148.78 = 5,494.38/x
  3. Step 3: Cross multiply
    9,527.45x = 13,148.78 × 5,494.38
  4. Step 4: Simplify right side
    9,527.45x = 72,244,366.38
  5. Step 5: Solve for x
    x = 72,244,366.38/9,527.45
  6. Step 6: Final answer
    x = 7,582.76

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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.