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Finding the Fourth Proportional to 1,746.15, 2,616.78 and 966.51

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Solution

The fourth proportional to 1,746.15, 2,616.78 and 966.51 is: 1,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.15 : 2,616.78 = 966.51 : x
  2. Step 2: Convert to fraction form
    1,746.15/2,616.78 = 966.51/x
  3. Step 3: Cross multiply
    1,746.15x = 2,616.78 × 966.51
  4. Step 4: Simplify right side
    1,746.15x = 2,529,144.04
  5. Step 5: Solve for x
    x = 2,529,144.04/1,746.15
  6. Step 6: Final answer
    x = 1,448.41

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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.