Home / 4,657.87-6,987.14-1,537.75

Finding the Fourth Proportional to 4,657.87, 6,987.14 and 1,537.75

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Solution

The fourth proportional to 4,657.87, 6,987.14 and 1,537.75 is: 2,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.87 : 6,987.14 = 1,537.75 : x
  2. Step 2: Convert to fraction form
    4,657.87/6,987.14 = 1,537.75/x
  3. Step 3: Cross multiply
    4,657.87x = 6,987.14 × 1,537.75
  4. Step 4: Simplify right side
    4,657.87x = 10,744,474.54
  5. Step 5: Solve for x
    x = 10,744,474.54/4,657.87
  6. Step 6: Final answer
    x = 2,306.74

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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.