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Finding the Fourth Proportional to 4,850, 7,276.14 and 1,387.16

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Solution

The fourth proportional to 4,850, 7,276.14 and 1,387.16 is: 2,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850 : 7,276.14 = 1,387.16 : x
  2. Step 2: Convert to fraction form
    4,850/7,276.14 = 1,387.16/x
  3. Step 3: Cross multiply
    4,850x = 7,276.14 × 1,387.16
  4. Step 4: Simplify right side
    4,850x = 10,093,170.36
  5. Step 5: Solve for x
    x = 10,093,170.36/4,850
  6. Step 6: Final answer
    x = 2,081.07

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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.