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Finding the Fourth Proportional to 2,816.16, 4,223.52 and 841.32

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Solution

The fourth proportional to 2,816.16, 4,223.52 and 841.32 is: 1,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.16 : 4,223.52 = 841.32 : x
  2. Step 2: Convert to fraction form
    2,816.16/4,223.52 = 841.32/x
  3. Step 3: Cross multiply
    2,816.16x = 4,223.52 × 841.32
  4. Step 4: Simplify right side
    2,816.16x = 3,553,331.85
  5. Step 5: Solve for x
    x = 3,553,331.85/2,816.16
  6. Step 6: Final answer
    x = 1,261.76

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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.