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Finding the Fourth Proportional to 6,500.70, 8,969.40 and 3,848.76

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Solution

The fourth proportional to 6,500.70, 8,969.40 and 3,848.76 is: 5,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.70 : 8,969.40 = 3,848.76 : x
  2. Step 2: Convert to fraction form
    6,500.70/8,969.40 = 3,848.76/x
  3. Step 3: Cross multiply
    6,500.70x = 8,969.40 × 3,848.76
  4. Step 4: Simplify right side
    6,500.70x = 34,521,067.94
  5. Step 5: Solve for x
    x = 34,521,067.94/6,500.70
  6. Step 6: Final answer
    x = 5,310.36

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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.