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Finding the Fourth Proportional to 2,767.77, 4,152.06 and 1,672.65

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Solution

The fourth proportional to 2,767.77, 4,152.06 and 1,672.65 is: 2,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.77 : 4,152.06 = 1,672.65 : x
  2. Step 2: Convert to fraction form
    2,767.77/4,152.06 = 1,672.65/x
  3. Step 3: Cross multiply
    2,767.77x = 4,152.06 × 1,672.65
  4. Step 4: Simplify right side
    2,767.77x = 6,944,943.16
  5. Step 5: Solve for x
    x = 6,944,943.16/2,767.77
  6. Step 6: Final answer
    x = 2,509.22

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1.5x scale

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.