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Finding the Fourth Proportional to 6,407.84, 8,842.40 and 3,613.28

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Solution

The fourth proportional to 6,407.84, 8,842.40 and 3,613.28 is: 4,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.84 : 8,842.40 = 3,613.28 : x
  2. Step 2: Convert to fraction form
    6,407.84/8,842.40 = 3,613.28/x
  3. Step 3: Cross multiply
    6,407.84x = 8,842.40 × 3,613.28
  4. Step 4: Simplify right side
    6,407.84x = 31,950,067.07
  5. Step 5: Solve for x
    x = 31,950,067.07/6,407.84
  6. Step 6: Final answer
    x = 4,986.09

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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.