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Finding the Fourth Proportional to 4,969.60, 7,454.16 and 1,849.60

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Solution

The fourth proportional to 4,969.60, 7,454.16 and 1,849.60 is: 2,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.60 : 7,454.16 = 1,849.60 : x
  2. Step 2: Convert to fraction form
    4,969.60/7,454.16 = 1,849.60/x
  3. Step 3: Cross multiply
    4,969.60x = 7,454.16 × 1,849.60
  4. Step 4: Simplify right side
    4,969.60x = 13,787,214.34
  5. Step 5: Solve for x
    x = 13,787,214.34/4,969.60
  6. Step 6: Final answer
    x = 2,774.31

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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.