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Finding the Fourth Proportional to 6,613.94, 9,920.78 and 1,616.34

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Solution

The fourth proportional to 6,613.94, 9,920.78 and 1,616.34 is: 2,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.94 : 9,920.78 = 1,616.34 : x
  2. Step 2: Convert to fraction form
    6,613.94/9,920.78 = 1,616.34/x
  3. Step 3: Cross multiply
    6,613.94x = 9,920.78 × 1,616.34
  4. Step 4: Simplify right side
    6,613.94x = 16,035,394.79
  5. Step 5: Solve for x
    x = 16,035,394.79/6,613.94
  6. Step 6: Final answer
    x = 2,424.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.