Home / 2,156.53-3,234.81-923.17

Finding the Fourth Proportional to 2,156.53, 3,234.81 and 923.17

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Solution

The fourth proportional to 2,156.53, 3,234.81 and 923.17 is: 1,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.53 : 3,234.81 = 923.17 : x
  2. Step 2: Convert to fraction form
    2,156.53/3,234.81 = 923.17/x
  3. Step 3: Cross multiply
    2,156.53x = 3,234.81 × 923.17
  4. Step 4: Simplify right side
    2,156.53x = 2,986,279.55
  5. Step 5: Solve for x
    x = 2,986,279.55/2,156.53
  6. Step 6: Final answer
    x = 1,384.76

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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.