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Finding the Fourth Proportional to 5,300.64, 7,954.80 and 3,545.76

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Solution

The fourth proportional to 5,300.64, 7,954.80 and 3,545.76 is: 5,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.64 : 7,954.80 = 3,545.76 : x
  2. Step 2: Convert to fraction form
    5,300.64/7,954.80 = 3,545.76/x
  3. Step 3: Cross multiply
    5,300.64x = 7,954.80 × 3,545.76
  4. Step 4: Simplify right side
    5,300.64x = 28,205,811.65
  5. Step 5: Solve for x
    x = 28,205,811.65/5,300.64
  6. Step 6: Final answer
    x = 5,321.21

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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.