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Finding the Fourth Proportional to 10,275.50, 15,415.68 and 3,350

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Solution

The fourth proportional to 10,275.50, 15,415.68 and 3,350 is: 5,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.50 : 15,415.68 = 3,350 : x
  2. Step 2: Convert to fraction form
    10,275.50/15,415.68 = 3,350/x
  3. Step 3: Cross multiply
    10,275.50x = 15,415.68 × 3,350
  4. Step 4: Simplify right side
    10,275.50x = 51,642,528
  5. Step 5: Solve for x
    x = 51,642,528/10,275.50
  6. Step 6: Final answer
    x = 5,025.79

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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.