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Finding the Fourth Proportional to 3,160.78, 4,742.20 and 1,315.46

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Solution

The fourth proportional to 3,160.78, 4,742.20 and 1,315.46 is: 1,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.78 : 4,742.20 = 1,315.46 : x
  2. Step 2: Convert to fraction form
    3,160.78/4,742.20 = 1,315.46/x
  3. Step 3: Cross multiply
    3,160.78x = 4,742.20 × 1,315.46
  4. Step 4: Simplify right side
    3,160.78x = 6,238,174.41
  5. Step 5: Solve for x
    x = 6,238,174.41/3,160.78
  6. Step 6: Final answer
    x = 1,973.62

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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.