Home / 1,546.20-2,131.56-956.40

Finding the Fourth Proportional to 1,546.20, 2,131.56 and 956.40

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Solution

The fourth proportional to 1,546.20, 2,131.56 and 956.40 is: 1,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.20 : 2,131.56 = 956.40 : x
  2. Step 2: Convert to fraction form
    1,546.20/2,131.56 = 956.40/x
  3. Step 3: Cross multiply
    1,546.20x = 2,131.56 × 956.40
  4. Step 4: Simplify right side
    1,546.20x = 2,038,623.98
  5. Step 5: Solve for x
    x = 2,038,623.98/1,546.20
  6. Step 6: Final answer
    x = 1,318.47

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1.5x scale

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.