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Finding the Fourth Proportional to 10,871.18, 16,308.86 and 4,631.07

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Solution

The fourth proportional to 10,871.18, 16,308.86 and 4,631.07 is: 6,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.18 : 16,308.86 = 4,631.07 : x
  2. Step 2: Convert to fraction form
    10,871.18/16,308.86 = 4,631.07/x
  3. Step 3: Cross multiply
    10,871.18x = 16,308.86 × 4,631.07
  4. Step 4: Simplify right side
    10,871.18x = 75,527,449.12
  5. Step 5: Solve for x
    x = 75,527,449.12/10,871.18
  6. Step 6: Final answer
    x = 6,947.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.