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Finding the Fourth Proportional to 9,864, 13,612.32 and 5,448

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Solution

The fourth proportional to 9,864, 13,612.32 and 5,448 is: 7,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864 : 13,612.32 = 5,448 : x
  2. Step 2: Convert to fraction form
    9,864/13,612.32 = 5,448/x
  3. Step 3: Cross multiply
    9,864x = 13,612.32 × 5,448
  4. Step 4: Simplify right side
    9,864x = 74,159,919.36
  5. Step 5: Solve for x
    x = 74,159,919.36/9,864
  6. Step 6: Final answer
    x = 7,518.24

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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.