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Finding the Fourth Proportional to 11,478.84, 15,841.03 and 6,443.42

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Solution

The fourth proportional to 11,478.84, 15,841.03 and 6,443.42 is: 8,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.84 : 15,841.03 = 6,443.42 : x
  2. Step 2: Convert to fraction form
    11,478.84/15,841.03 = 6,443.42/x
  3. Step 3: Cross multiply
    11,478.84x = 15,841.03 × 6,443.42
  4. Step 4: Simplify right side
    11,478.84x = 102,070,436.29
  5. Step 5: Solve for x
    x = 102,070,436.29/11,478.84
  6. Step 6: Final answer
    x = 8,892.05

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1.5x scale

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.