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Finding the Fourth Proportional to 10,357.10, 15,529.98 and 8,159.30

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Solution

The fourth proportional to 10,357.10, 15,529.98 and 8,159.30 is: 12,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.10 : 15,529.98 = 8,159.30 : x
  2. Step 2: Convert to fraction form
    10,357.10/15,529.98 = 8,159.30/x
  3. Step 3: Cross multiply
    10,357.10x = 15,529.98 × 8,159.30
  4. Step 4: Simplify right side
    10,357.10x = 126,713,765.81
  5. Step 5: Solve for x
    x = 126,713,765.81/10,357.10
  6. Step 6: Final answer
    x = 12,234.48

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1.5x scale

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.