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Finding the Fourth Proportional to 4,910.78, 7,366.23 and 1,448.10

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Solution

The fourth proportional to 4,910.78, 7,366.23 and 1,448.10 is: 2,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910.78 : 7,366.23 = 1,448.10 : x
  2. Step 2: Convert to fraction form
    4,910.78/7,366.23 = 1,448.10/x
  3. Step 3: Cross multiply
    4,910.78x = 7,366.23 × 1,448.10
  4. Step 4: Simplify right side
    4,910.78x = 10,667,037.66
  5. Step 5: Solve for x
    x = 10,667,037.66/4,910.78
  6. Step 6: Final answer
    x = 2,172.17

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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.