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Finding the Fourth Proportional to 3,613.78, 4,987.42 and 2,041.98

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Solution

The fourth proportional to 3,613.78, 4,987.42 and 2,041.98 is: 2,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.78 : 4,987.42 = 2,041.98 : x
  2. Step 2: Convert to fraction form
    3,613.78/4,987.42 = 2,041.98/x
  3. Step 3: Cross multiply
    3,613.78x = 4,987.42 × 2,041.98
  4. Step 4: Simplify right side
    3,613.78x = 10,184,199.57
  5. Step 5: Solve for x
    x = 10,184,199.57/3,613.78
  6. Step 6: Final answer
    x = 2,818.16

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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.