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Finding the Fourth Proportional to 5,315.76, 7,973.17 and 1,618.83

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Solution

The fourth proportional to 5,315.76, 7,973.17 and 1,618.83 is: 2,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.76 : 7,973.17 = 1,618.83 : x
  2. Step 2: Convert to fraction form
    5,315.76/7,973.17 = 1,618.83/x
  3. Step 3: Cross multiply
    5,315.76x = 7,973.17 × 1,618.83
  4. Step 4: Simplify right side
    5,315.76x = 12,907,202.74
  5. Step 5: Solve for x
    x = 12,907,202.74/5,315.76
  6. Step 6: Final answer
    x = 2,428.10

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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.