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Finding the Fourth Proportional to 10,886.82, 15,025 and 6,411.66

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Solution

The fourth proportional to 10,886.82, 15,025 and 6,411.66 is: 8,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.82 : 15,025 = 6,411.66 : x
  2. Step 2: Convert to fraction form
    10,886.82/15,025 = 6,411.66/x
  3. Step 3: Cross multiply
    10,886.82x = 15,025 × 6,411.66
  4. Step 4: Simplify right side
    10,886.82x = 96,335,191.50
  5. Step 5: Solve for x
    x = 96,335,191.50/10,886.82
  6. Step 6: Final answer
    x = 8,848.79

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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.