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Finding the Fourth Proportional to 6,329.75, 8,737.47 and 5,665.41

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Solution

The fourth proportional to 6,329.75, 8,737.47 and 5,665.41 is: 7,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.75 : 8,737.47 = 5,665.41 : x
  2. Step 2: Convert to fraction form
    6,329.75/8,737.47 = 5,665.41/x
  3. Step 3: Cross multiply
    6,329.75x = 8,737.47 × 5,665.41
  4. Step 4: Simplify right side
    6,329.75x = 49,501,349.91
  5. Step 5: Solve for x
    x = 49,501,349.91/6,329.75
  6. Step 6: Final answer
    x = 7,820.43

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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.