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Finding the Fourth Proportional to 6,505.76, 8,977.96 and 3,521.62

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Solution

The fourth proportional to 6,505.76, 8,977.96 and 3,521.62 is: 4,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.76 : 8,977.96 = 3,521.62 : x
  2. Step 2: Convert to fraction form
    6,505.76/8,977.96 = 3,521.62/x
  3. Step 3: Cross multiply
    6,505.76x = 8,977.96 × 3,521.62
  4. Step 4: Simplify right side
    6,505.76x = 31,616,932.25
  5. Step 5: Solve for x
    x = 31,616,932.25/6,505.76
  6. Step 6: Final answer
    x = 4,859.84

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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.