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Finding the Fourth Proportional to 4,690.76, 7,036.52 and 1,228

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Solution

The fourth proportional to 4,690.76, 7,036.52 and 1,228 is: 1,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.76 : 7,036.52 = 1,228 : x
  2. Step 2: Convert to fraction form
    4,690.76/7,036.52 = 1,228/x
  3. Step 3: Cross multiply
    4,690.76x = 7,036.52 × 1,228
  4. Step 4: Simplify right side
    4,690.76x = 8,640,846.56
  5. Step 5: Solve for x
    x = 8,640,846.56/4,690.76
  6. Step 6: Final answer
    x = 1,842.10

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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.