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Finding the Fourth Proportional to 6,351.52, 8,765.12 and 3,557

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Solution

The fourth proportional to 6,351.52, 8,765.12 and 3,557 is: 4,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.52 : 8,765.12 = 3,557 : x
  2. Step 2: Convert to fraction form
    6,351.52/8,765.12 = 3,557/x
  3. Step 3: Cross multiply
    6,351.52x = 8,765.12 × 3,557
  4. Step 4: Simplify right side
    6,351.52x = 31,177,531.84
  5. Step 5: Solve for x
    x = 31,177,531.84/6,351.52
  6. Step 6: Final answer
    x = 4,908.67

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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.