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Finding the Fourth Proportional to 2,822.55, 4,233.84 and 874.77

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Solution

The fourth proportional to 2,822.55, 4,233.84 and 874.77 is: 1,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.55 : 4,233.84 = 874.77 : x
  2. Step 2: Convert to fraction form
    2,822.55/4,233.84 = 874.77/x
  3. Step 3: Cross multiply
    2,822.55x = 4,233.84 × 874.77
  4. Step 4: Simplify right side
    2,822.55x = 3,703,617.06
  5. Step 5: Solve for x
    x = 3,703,617.06/2,822.55
  6. Step 6: Final answer
    x = 1,312.15

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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.