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Finding the Fourth Proportional to 15,219, 22,831.38 and 7,011

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Solution

The fourth proportional to 15,219, 22,831.38 and 7,011 is: 10,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219 : 22,831.38 = 7,011 : x
  2. Step 2: Convert to fraction form
    15,219/22,831.38 = 7,011/x
  3. Step 3: Cross multiply
    15,219x = 22,831.38 × 7,011
  4. Step 4: Simplify right side
    15,219x = 160,070,805.18
  5. Step 5: Solve for x
    x = 160,070,805.18/15,219
  6. Step 6: Final answer
    x = 10,517.83

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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.