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Finding the Fourth Proportional to 6,469.76, 9,686.28 and 5,854.64

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Solution

The fourth proportional to 6,469.76, 9,686.28 and 5,854.64 is: 8,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.76 : 9,686.28 = 5,854.64 : x
  2. Step 2: Convert to fraction form
    6,469.76/9,686.28 = 5,854.64/x
  3. Step 3: Cross multiply
    6,469.76x = 9,686.28 × 5,854.64
  4. Step 4: Simplify right side
    6,469.76x = 56,709,682.34
  5. Step 5: Solve for x
    x = 56,709,682.34/6,469.76
  6. Step 6: Final answer
    x = 8,765.35

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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.