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Finding the Fourth Proportional to 7,753.20, 10,699.20 and 4,216.56

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Solution

The fourth proportional to 7,753.20, 10,699.20 and 4,216.56 is: 5,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.20 : 10,699.20 = 4,216.56 : x
  2. Step 2: Convert to fraction form
    7,753.20/10,699.20 = 4,216.56/x
  3. Step 3: Cross multiply
    7,753.20x = 10,699.20 × 4,216.56
  4. Step 4: Simplify right side
    7,753.20x = 45,113,818.75
  5. Step 5: Solve for x
    x = 45,113,818.75/7,753.20
  6. Step 6: Final answer
    x = 5,818.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.