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Finding the Fourth Proportional to 6,407.39, 8,842.21 and 3,574.69

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Solution

The fourth proportional to 6,407.39, 8,842.21 and 3,574.69 is: 4,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.39 : 8,842.21 = 3,574.69 : x
  2. Step 2: Convert to fraction form
    6,407.39/8,842.21 = 3,574.69/x
  3. Step 3: Cross multiply
    6,407.39x = 8,842.21 × 3,574.69
  4. Step 4: Simplify right side
    6,407.39x = 31,608,159.66
  5. Step 5: Solve for x
    x = 31,608,159.66/6,407.39
  6. Step 6: Final answer
    x = 4,933.08

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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.