Home / 1,454.94-2,178.77-966.51

Finding the Fourth Proportional to 1,454.94, 2,178.77 and 966.51

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Solution

The fourth proportional to 1,454.94, 2,178.77 and 966.51 is: 1,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.94 : 2,178.77 = 966.51 : x
  2. Step 2: Convert to fraction form
    1,454.94/2,178.77 = 966.51/x
  3. Step 3: Cross multiply
    1,454.94x = 2,178.77 × 966.51
  4. Step 4: Simplify right side
    1,454.94x = 2,105,798.16
  5. Step 5: Solve for x
    x = 2,105,798.16/1,454.94
  6. Step 6: Final answer
    x = 1,447.34

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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.