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Finding the Fourth Proportional to 2,999.78, 4,499.70 and 920.10

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Solution

The fourth proportional to 2,999.78, 4,499.70 and 920.10 is: 1,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.78 : 4,499.70 = 920.10 : x
  2. Step 2: Convert to fraction form
    2,999.78/4,499.70 = 920.10/x
  3. Step 3: Cross multiply
    2,999.78x = 4,499.70 × 920.10
  4. Step 4: Simplify right side
    2,999.78x = 4,140,173.97
  5. Step 5: Solve for x
    x = 4,140,173.97/2,999.78
  6. Step 6: Final answer
    x = 1,380.16

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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.