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Finding the Fourth Proportional to 4,873.50, 7,310.25 and 1,410.78

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Solution

The fourth proportional to 4,873.50, 7,310.25 and 1,410.78 is: 2,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.50 : 7,310.25 = 1,410.78 : x
  2. Step 2: Convert to fraction form
    4,873.50/7,310.25 = 1,410.78/x
  3. Step 3: Cross multiply
    4,873.50x = 7,310.25 × 1,410.78
  4. Step 4: Simplify right side
    4,873.50x = 10,313,154.50
  5. Step 5: Solve for x
    x = 10,313,154.50/4,873.50
  6. Step 6: Final answer
    x = 2,116.17

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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.