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Finding the Fourth Proportional to 3,953.56, 5,931.16 and 1,613.57

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Solution

The fourth proportional to 3,953.56, 5,931.16 and 1,613.57 is: 2,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.56 : 5,931.16 = 1,613.57 : x
  2. Step 2: Convert to fraction form
    3,953.56/5,931.16 = 1,613.57/x
  3. Step 3: Cross multiply
    3,953.56x = 5,931.16 × 1,613.57
  4. Step 4: Simplify right side
    3,953.56x = 9,570,341.51
  5. Step 5: Solve for x
    x = 9,570,341.51/3,953.56
  6. Step 6: Final answer
    x = 2,420.69

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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.