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Finding the Fourth Proportional to 4,508, 6,762.80 and 1,585.52

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Solution

The fourth proportional to 4,508, 6,762.80 and 1,585.52 is: 2,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508 : 6,762.80 = 1,585.52 : x
  2. Step 2: Convert to fraction form
    4,508/6,762.80 = 1,585.52/x
  3. Step 3: Cross multiply
    4,508x = 6,762.80 × 1,585.52
  4. Step 4: Simplify right side
    4,508x = 10,722,554.66
  5. Step 5: Solve for x
    x = 10,722,554.66/4,508
  6. Step 6: Final answer
    x = 2,378.56

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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.