Home / 2,322.10-3,204.43-1,534.78

Finding the Fourth Proportional to 2,322.10, 3,204.43 and 1,534.78

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Solution

The fourth proportional to 2,322.10, 3,204.43 and 1,534.78 is: 2,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.10 : 3,204.43 = 1,534.78 : x
  2. Step 2: Convert to fraction form
    2,322.10/3,204.43 = 1,534.78/x
  3. Step 3: Cross multiply
    2,322.10x = 3,204.43 × 1,534.78
  4. Step 4: Simplify right side
    2,322.10x = 4,918,095.08
  5. Step 5: Solve for x
    x = 4,918,095.08/2,322.10
  6. Step 6: Final answer
    x = 2,117.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.