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Finding the Fourth Proportional to 10,039.68, 15,074.10 and 7,415.28

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Solution

The fourth proportional to 10,039.68, 15,074.10 and 7,415.28 is: 11,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.68 : 15,074.10 = 7,415.28 : x
  2. Step 2: Convert to fraction form
    10,039.68/15,074.10 = 7,415.28/x
  3. Step 3: Cross multiply
    10,039.68x = 15,074.10 × 7,415.28
  4. Step 4: Simplify right side
    10,039.68x = 111,778,672.25
  5. Step 5: Solve for x
    x = 111,778,672.25/10,039.68
  6. Step 6: Final answer
    x = 11,133.69

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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.