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Finding the Fourth Proportional to 3,214.76, 4,822.80 and 1,458.92

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Solution

The fourth proportional to 3,214.76, 4,822.80 and 1,458.92 is: 2,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.76 : 4,822.80 = 1,458.92 : x
  2. Step 2: Convert to fraction form
    3,214.76/4,822.80 = 1,458.92/x
  3. Step 3: Cross multiply
    3,214.76x = 4,822.80 × 1,458.92
  4. Step 4: Simplify right side
    3,214.76x = 7,036,079.38
  5. Step 5: Solve for x
    x = 7,036,079.38/3,214.76
  6. Step 6: Final answer
    x = 2,188.68

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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.