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Finding the Fourth Proportional to 5,481, 8,222.73 and 1,585.11

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Solution

The fourth proportional to 5,481, 8,222.73 and 1,585.11 is: 2,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481 : 8,222.73 = 1,585.11 : x
  2. Step 2: Convert to fraction form
    5,481/8,222.73 = 1,585.11/x
  3. Step 3: Cross multiply
    5,481x = 8,222.73 × 1,585.11
  4. Step 4: Simplify right side
    5,481x = 13,033,931.55
  5. Step 5: Solve for x
    x = 13,033,931.55/5,481
  6. Step 6: Final answer
    x = 2,378.02

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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.