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Finding the Fourth Proportional to 8,838, 12,196.73 and 4,859.40

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Solution

The fourth proportional to 8,838, 12,196.73 and 4,859.40 is: 6,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838 : 12,196.73 = 4,859.40 : x
  2. Step 2: Convert to fraction form
    8,838/12,196.73 = 4,859.40/x
  3. Step 3: Cross multiply
    8,838x = 12,196.73 × 4,859.40
  4. Step 4: Simplify right side
    8,838x = 59,268,765.47
  5. Step 5: Solve for x
    x = 59,268,765.47/8,838
  6. Step 6: Final answer
    x = 6,706.13

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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.