Home / 1,546.32-2,318.64-921.90

Finding the Fourth Proportional to 1,546.32, 2,318.64 and 921.90

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Solution

The fourth proportional to 1,546.32, 2,318.64 and 921.90 is: 1,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.32 : 2,318.64 = 921.90 : x
  2. Step 2: Convert to fraction form
    1,546.32/2,318.64 = 921.90/x
  3. Step 3: Cross multiply
    1,546.32x = 2,318.64 × 921.90
  4. Step 4: Simplify right side
    1,546.32x = 2,137,554.22
  5. Step 5: Solve for x
    x = 2,137,554.22/1,546.32
  6. Step 6: Final answer
    x = 1,382.35

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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.