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Finding the Fourth Proportional to 4,387.66, 6,580.78 and 1,613.64

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Solution

The fourth proportional to 4,387.66, 6,580.78 and 1,613.64 is: 2,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.66 : 6,580.78 = 1,613.64 : x
  2. Step 2: Convert to fraction form
    4,387.66/6,580.78 = 1,613.64/x
  3. Step 3: Cross multiply
    4,387.66x = 6,580.78 × 1,613.64
  4. Step 4: Simplify right side
    4,387.66x = 10,619,030.48
  5. Step 5: Solve for x
    x = 10,619,030.48/4,387.66
  6. Step 6: Final answer
    x = 2,420.20

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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.