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Finding the Fourth Proportional to 5,358.78, 8,039.16 and 1,898.46

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Solution

The fourth proportional to 5,358.78, 8,039.16 and 1,898.46 is: 2,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.78 : 8,039.16 = 1,898.46 : x
  2. Step 2: Convert to fraction form
    5,358.78/8,039.16 = 1,898.46/x
  3. Step 3: Cross multiply
    5,358.78x = 8,039.16 × 1,898.46
  4. Step 4: Simplify right side
    5,358.78x = 15,262,023.69
  5. Step 5: Solve for x
    x = 15,262,023.69/5,358.78
  6. Step 6: Final answer
    x = 2,848.04

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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.