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Finding the Fourth Proportional to 4,518, 6,775.92 and 1,397.16

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Solution

The fourth proportional to 4,518, 6,775.92 and 1,397.16 is: 2,095.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,518 : 6,775.92 = 1,397.16 : x
  2. Step 2: Convert to fraction form
    4,518/6,775.92 = 1,397.16/x
  3. Step 3: Cross multiply
    4,518x = 6,775.92 × 1,397.16
  4. Step 4: Simplify right side
    4,518x = 9,467,044.39
  5. Step 5: Solve for x
    x = 9,467,044.39/4,518
  6. Step 6: Final answer
    x = 2,095.41

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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.