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Finding the Fourth Proportional to 1,228.89, 1,830.89 and 1,166.92

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Solution

The fourth proportional to 1,228.89, 1,830.89 and 1,166.92 is: 1,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.89 : 1,830.89 = 1,166.92 : x
  2. Step 2: Convert to fraction form
    1,228.89/1,830.89 = 1,166.92/x
  3. Step 3: Cross multiply
    1,228.89x = 1,830.89 × 1,166.92
  4. Step 4: Simplify right side
    1,228.89x = 2,136,502.16
  5. Step 5: Solve for x
    x = 2,136,502.16/1,228.89
  6. Step 6: Final answer
    x = 1,738.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.