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Finding the Fourth Proportional to 4,850, 7,275.30 and 1,387.52

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Solution

The fourth proportional to 4,850, 7,275.30 and 1,387.52 is: 2,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850 : 7,275.30 = 1,387.52 : x
  2. Step 2: Convert to fraction form
    4,850/7,275.30 = 1,387.52/x
  3. Step 3: Cross multiply
    4,850x = 7,275.30 × 1,387.52
  4. Step 4: Simplify right side
    4,850x = 10,094,624.26
  5. Step 5: Solve for x
    x = 10,094,624.26/4,850
  6. Step 6: Final answer
    x = 2,081.37

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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.