Home / 2,292.84-3,442.10-2,282.31

Finding the Fourth Proportional to 2,292.84, 3,442.10 and 2,282.31

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Solution

The fourth proportional to 2,292.84, 3,442.10 and 2,282.31 is: 3,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.84 : 3,442.10 = 2,282.31 : x
  2. Step 2: Convert to fraction form
    2,292.84/3,442.10 = 2,282.31/x
  3. Step 3: Cross multiply
    2,292.84x = 3,442.10 × 2,282.31
  4. Step 4: Simplify right side
    2,292.84x = 7,855,927.84
  5. Step 5: Solve for x
    x = 7,855,927.84/2,292.84
  6. Step 6: Final answer
    x = 3,426.29

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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.