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Finding the Fourth Proportional to 9,864.53, 13,585.38 and 9,833.78

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Solution

The fourth proportional to 9,864.53, 13,585.38 and 9,833.78 is: 13,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.53 : 13,585.38 = 9,833.78 : x
  2. Step 2: Convert to fraction form
    9,864.53/13,585.38 = 9,833.78/x
  3. Step 3: Cross multiply
    9,864.53x = 13,585.38 × 9,833.78
  4. Step 4: Simplify right side
    9,864.53x = 133,595,570.21
  5. Step 5: Solve for x
    x = 133,595,570.21/9,864.53
  6. Step 6: Final answer
    x = 13,543.03

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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.