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Finding the Fourth Proportional to 2,787, 3,846.06 and 1,545.24

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Solution

The fourth proportional to 2,787, 3,846.06 and 1,545.24 is: 2,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787 : 3,846.06 = 1,545.24 : x
  2. Step 2: Convert to fraction form
    2,787/3,846.06 = 1,545.24/x
  3. Step 3: Cross multiply
    2,787x = 3,846.06 × 1,545.24
  4. Step 4: Simplify right side
    2,787x = 5,943,085.75
  5. Step 5: Solve for x
    x = 5,943,085.75/2,787
  6. Step 6: Final answer
    x = 2,132.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.