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Finding the Fourth Proportional to 2,767.74, 4,152.10 and 918.66

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Solution

The fourth proportional to 2,767.74, 4,152.10 and 918.66 is: 1,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.74 : 4,152.10 = 918.66 : x
  2. Step 2: Convert to fraction form
    2,767.74/4,152.10 = 918.66/x
  3. Step 3: Cross multiply
    2,767.74x = 4,152.10 × 918.66
  4. Step 4: Simplify right side
    2,767.74x = 3,814,368.19
  5. Step 5: Solve for x
    x = 3,814,368.19/2,767.74
  6. Step 6: Final answer
    x = 1,378.15

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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.