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Finding the Fourth Proportional to 4,969.80, 7,454.97 and 1,506.78

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Solution

The fourth proportional to 4,969.80, 7,454.97 and 1,506.78 is: 2,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.80 : 7,454.97 = 1,506.78 : x
  2. Step 2: Convert to fraction form
    4,969.80/7,454.97 = 1,506.78/x
  3. Step 3: Cross multiply
    4,969.80x = 7,454.97 × 1,506.78
  4. Step 4: Simplify right side
    4,969.80x = 11,232,999.70
  5. Step 5: Solve for x
    x = 11,232,999.70/4,969.80
  6. Step 6: Final answer
    x = 2,260.25

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1.5x scale

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.