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Finding the Fourth Proportional to 6,505.71, 8,977.91 and 3,521.54

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Solution

The fourth proportional to 6,505.71, 8,977.91 and 3,521.54 is: 4,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.71 : 8,977.91 = 3,521.54 : x
  2. Step 2: Convert to fraction form
    6,505.71/8,977.91 = 3,521.54/x
  3. Step 3: Cross multiply
    6,505.71x = 8,977.91 × 3,521.54
  4. Step 4: Simplify right side
    6,505.71x = 31,616,074.02
  5. Step 5: Solve for x
    x = 31,616,074.02/6,505.71
  6. Step 6: Final answer
    x = 4,859.75

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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.