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Finding the Fourth Proportional to 6,574.86, 9,071.82 and 3,921.75

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Solution

The fourth proportional to 6,574.86, 9,071.82 and 3,921.75 is: 5,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.86 : 9,071.82 = 3,921.75 : x
  2. Step 2: Convert to fraction form
    6,574.86/9,071.82 = 3,921.75/x
  3. Step 3: Cross multiply
    6,574.86x = 9,071.82 × 3,921.75
  4. Step 4: Simplify right side
    6,574.86x = 35,577,410.09
  5. Step 5: Solve for x
    x = 35,577,410.09/6,574.86
  6. Step 6: Final answer
    x = 5,411.13

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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.