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Finding the Fourth Proportional to 4,387.42, 6,580.42 and 1,465.72

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Solution

The fourth proportional to 4,387.42, 6,580.42 and 1,465.72 is: 2,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.42 : 6,580.42 = 1,465.72 : x
  2. Step 2: Convert to fraction form
    4,387.42/6,580.42 = 1,465.72/x
  3. Step 3: Cross multiply
    4,387.42x = 6,580.42 × 1,465.72
  4. Step 4: Simplify right side
    4,387.42x = 9,645,053.20
  5. Step 5: Solve for x
    x = 9,645,053.20/4,387.42
  6. Step 6: Final answer
    x = 2,198.34

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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.