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Finding the Fourth Proportional to 5,612.80, 8,421 and 2,326.24

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Solution

The fourth proportional to 5,612.80, 8,421 and 2,326.24 is: 3,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.80 : 8,421 = 2,326.24 : x
  2. Step 2: Convert to fraction form
    5,612.80/8,421 = 2,326.24/x
  3. Step 3: Cross multiply
    5,612.80x = 8,421 × 2,326.24
  4. Step 4: Simplify right side
    5,612.80x = 19,589,267.04
  5. Step 5: Solve for x
    x = 19,589,267.04/5,612.80
  6. Step 6: Final answer
    x = 3,490.11

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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.