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Finding the Fourth Proportional to 3,449.78, 5,172.99 and 1,140.50

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Solution

The fourth proportional to 3,449.78, 5,172.99 and 1,140.50 is: 1,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.78 : 5,172.99 = 1,140.50 : x
  2. Step 2: Convert to fraction form
    3,449.78/5,172.99 = 1,140.50/x
  3. Step 3: Cross multiply
    3,449.78x = 5,172.99 × 1,140.50
  4. Step 4: Simplify right side
    3,449.78x = 5,899,795.10
  5. Step 5: Solve for x
    x = 5,899,795.10/3,449.78
  6. Step 6: Final answer
    x = 1,710.19

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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.