Home / 2,154.30-3,232.55-922.74

Finding the Fourth Proportional to 2,154.30, 3,232.55 and 922.74

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Solution

The fourth proportional to 2,154.30, 3,232.55 and 922.74 is: 1,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.30 : 3,232.55 = 922.74 : x
  2. Step 2: Convert to fraction form
    2,154.30/3,232.55 = 922.74/x
  3. Step 3: Cross multiply
    2,154.30x = 3,232.55 × 922.74
  4. Step 4: Simplify right side
    2,154.30x = 2,982,803.19
  5. Step 5: Solve for x
    x = 2,982,803.19/2,154.30
  6. Step 6: Final answer
    x = 1,384.58

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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.