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Finding the Fourth Proportional to 6,561.70, 9,055.16 and 3,909.15

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Solution

The fourth proportional to 6,561.70, 9,055.16 and 3,909.15 is: 5,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.70 : 9,055.16 = 3,909.15 : x
  2. Step 2: Convert to fraction form
    6,561.70/9,055.16 = 3,909.15/x
  3. Step 3: Cross multiply
    6,561.70x = 9,055.16 × 3,909.15
  4. Step 4: Simplify right side
    6,561.70x = 35,397,978.71
  5. Step 5: Solve for x
    x = 35,397,978.71/6,561.70
  6. Step 6: Final answer
    x = 5,394.64

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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.