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Finding the Fourth Proportional to 10,455.76, 15,680.48 and 4,213.76

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Solution

The fourth proportional to 10,455.76, 15,680.48 and 4,213.76 is: 6,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.76 : 15,680.48 = 4,213.76 : x
  2. Step 2: Convert to fraction form
    10,455.76/15,680.48 = 4,213.76/x
  3. Step 3: Cross multiply
    10,455.76x = 15,680.48 × 4,213.76
  4. Step 4: Simplify right side
    10,455.76x = 66,073,779.40
  5. Step 5: Solve for x
    x = 66,073,779.40/10,455.76
  6. Step 6: Final answer
    x = 6,319.37

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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.