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Finding the Fourth Proportional to 1,262.88, 1,884.78 and 1,230.08

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Solution

The fourth proportional to 1,262.88, 1,884.78 and 1,230.08 is: 1,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.88 : 1,884.78 = 1,230.08 : x
  2. Step 2: Convert to fraction form
    1,262.88/1,884.78 = 1,230.08/x
  3. Step 3: Cross multiply
    1,262.88x = 1,884.78 × 1,230.08
  4. Step 4: Simplify right side
    1,262.88x = 2,318,420.76
  5. Step 5: Solve for x
    x = 2,318,420.76/1,262.88
  6. Step 6: Final answer
    x = 1,835.82

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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.