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Finding the Fourth Proportional to 6,616.97, 9,130.74 and 3,964.31

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Solution

The fourth proportional to 6,616.97, 9,130.74 and 3,964.31 is: 5,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.97 : 9,130.74 = 3,964.31 : x
  2. Step 2: Convert to fraction form
    6,616.97/9,130.74 = 3,964.31/x
  3. Step 3: Cross multiply
    6,616.97x = 9,130.74 × 3,964.31
  4. Step 4: Simplify right side
    6,616.97x = 36,197,038.24
  5. Step 5: Solve for x
    x = 36,197,038.24/6,616.97
  6. Step 6: Final answer
    x = 5,470.34

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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.