Home / 1,546.40-2,134.68-986.90

Finding the Fourth Proportional to 1,546.40, 2,134.68 and 986.90

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Solution

The fourth proportional to 1,546.40, 2,134.68 and 986.90 is: 1,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.40 : 2,134.68 = 986.90 : x
  2. Step 2: Convert to fraction form
    1,546.40/2,134.68 = 986.90/x
  3. Step 3: Cross multiply
    1,546.40x = 2,134.68 × 986.90
  4. Step 4: Simplify right side
    1,546.40x = 2,106,715.69
  5. Step 5: Solve for x
    x = 2,106,715.69/1,546.40
  6. Step 6: Final answer
    x = 1,362.34

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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.