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Finding the Fourth Proportional to 4,774.60, 7,161.90 and 1,264.60

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Solution

The fourth proportional to 4,774.60, 7,161.90 and 1,264.60 is: 1,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.60 : 7,161.90 = 1,264.60 : x
  2. Step 2: Convert to fraction form
    4,774.60/7,161.90 = 1,264.60/x
  3. Step 3: Cross multiply
    4,774.60x = 7,161.90 × 1,264.60
  4. Step 4: Simplify right side
    4,774.60x = 9,056,938.74
  5. Step 5: Solve for x
    x = 9,056,938.74/4,774.60
  6. Step 6: Final answer
    x = 1,896.90

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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.