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Finding the Fourth Proportional to 10,451.76, 15,674.48 and 4,209.76

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Solution

The fourth proportional to 10,451.76, 15,674.48 and 4,209.76 is: 6,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.76 : 15,674.48 = 4,209.76 : x
  2. Step 2: Convert to fraction form
    10,451.76/15,674.48 = 4,209.76/x
  3. Step 3: Cross multiply
    10,451.76x = 15,674.48 × 4,209.76
  4. Step 4: Simplify right side
    10,451.76x = 65,985,798.92
  5. Step 5: Solve for x
    x = 65,985,798.92/10,451.76
  6. Step 6: Final answer
    x = 6,313.37

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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.