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Finding the Fourth Proportional to 10,321.76, 15,482.60 and 4,165.76

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Solution

The fourth proportional to 10,321.76, 15,482.60 and 4,165.76 is: 6,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.76 : 15,482.60 = 4,165.76 : x
  2. Step 2: Convert to fraction form
    10,321.76/15,482.60 = 4,165.76/x
  3. Step 3: Cross multiply
    10,321.76x = 15,482.60 × 4,165.76
  4. Step 4: Simplify right side
    10,321.76x = 64,496,795.78
  5. Step 5: Solve for x
    x = 64,496,795.78/10,321.76
  6. Step 6: Final answer
    x = 6,248.62

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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.