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Finding the Fourth Proportional to 6,384.73, 8,807.85 and 4,116.93

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Solution

The fourth proportional to 6,384.73, 8,807.85 and 4,116.93 is: 5,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.73 : 8,807.85 = 4,116.93 : x
  2. Step 2: Convert to fraction form
    6,384.73/8,807.85 = 4,116.93/x
  3. Step 3: Cross multiply
    6,384.73x = 8,807.85 × 4,116.93
  4. Step 4: Simplify right side
    6,384.73x = 36,261,301.90
  5. Step 5: Solve for x
    x = 36,261,301.90/6,384.73
  6. Step 6: Final answer
    x = 5,679.38

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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.