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Finding the Fourth Proportional to 1,874.62, 2,812.56 and 835.33

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Solution

The fourth proportional to 1,874.62, 2,812.56 and 835.33 is: 1,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.62 : 2,812.56 = 835.33 : x
  2. Step 2: Convert to fraction form
    1,874.62/2,812.56 = 835.33/x
  3. Step 3: Cross multiply
    1,874.62x = 2,812.56 × 835.33
  4. Step 4: Simplify right side
    1,874.62x = 2,349,415.74
  5. Step 5: Solve for x
    x = 2,349,415.74/1,874.62
  6. Step 6: Final answer
    x = 1,253.28

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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.