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Finding the Fourth Proportional to 1,486.76, 2,230.31 and 1,404.86

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Solution

The fourth proportional to 1,486.76, 2,230.31 and 1,404.86 is: 2,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.76 : 2,230.31 = 1,404.86 : x
  2. Step 2: Convert to fraction form
    1,486.76/2,230.31 = 1,404.86/x
  3. Step 3: Cross multiply
    1,486.76x = 2,230.31 × 1,404.86
  4. Step 4: Simplify right side
    1,486.76x = 3,133,265.67
  5. Step 5: Solve for x
    x = 3,133,265.67/1,486.76
  6. Step 6: Final answer
    x = 2,107.45

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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.