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Finding the Fourth Proportional to 3,095.52, 4,643.52 and 787

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Solution

The fourth proportional to 3,095.52, 4,643.52 and 787 is: 1,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.52 : 4,643.52 = 787 : x
  2. Step 2: Convert to fraction form
    3,095.52/4,643.52 = 787/x
  3. Step 3: Cross multiply
    3,095.52x = 4,643.52 × 787
  4. Step 4: Simplify right side
    3,095.52x = 3,654,450.24
  5. Step 5: Solve for x
    x = 3,654,450.24/3,095.52
  6. Step 6: Final answer
    x = 1,180.56

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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.