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Finding the Fourth Proportional to 4,957.86, 6,839.96 and 3,165.40

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Solution

The fourth proportional to 4,957.86, 6,839.96 and 3,165.40 is: 4,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.86 : 6,839.96 = 3,165.40 : x
  2. Step 2: Convert to fraction form
    4,957.86/6,839.96 = 3,165.40/x
  3. Step 3: Cross multiply
    4,957.86x = 6,839.96 × 3,165.40
  4. Step 4: Simplify right side
    4,957.86x = 21,651,202.11
  5. Step 5: Solve for x
    x = 21,651,202.11/4,957.86
  6. Step 6: Final answer
    x = 4,367.05

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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.