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Finding the Fourth Proportional to 1,752.72, 2,418.64 and 966.76

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Solution

The fourth proportional to 1,752.72, 2,418.64 and 966.76 is: 1,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.72 : 2,418.64 = 966.76 : x
  2. Step 2: Convert to fraction form
    1,752.72/2,418.64 = 966.76/x
  3. Step 3: Cross multiply
    1,752.72x = 2,418.64 × 966.76
  4. Step 4: Simplify right side
    1,752.72x = 2,338,244.41
  5. Step 5: Solve for x
    x = 2,338,244.41/1,752.72
  6. Step 6: Final answer
    x = 1,334.07

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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.