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Finding the Fourth Proportional to 8,158, 11,258.04 and 4,432

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Solution

The fourth proportional to 8,158, 11,258.04 and 4,432 is: 6,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158 : 11,258.04 = 4,432 : x
  2. Step 2: Convert to fraction form
    8,158/11,258.04 = 4,432/x
  3. Step 3: Cross multiply
    8,158x = 11,258.04 × 4,432
  4. Step 4: Simplify right side
    8,158x = 49,895,633.28
  5. Step 5: Solve for x
    x = 49,895,633.28/8,158
  6. Step 6: Final answer
    x = 6,116.16

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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.