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Finding the Fourth Proportional to 30,072.40, 45,105.36 and 7,888

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Solution

The fourth proportional to 30,072.40, 45,105.36 and 7,888 is: 11,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072.40 : 45,105.36 = 7,888 : x
  2. Step 2: Convert to fraction form
    30,072.40/45,105.36 = 7,888/x
  3. Step 3: Cross multiply
    30,072.40x = 45,105.36 × 7,888
  4. Step 4: Simplify right side
    30,072.40x = 355,791,079.68
  5. Step 5: Solve for x
    x = 355,791,079.68/30,072.40
  6. Step 6: Final answer
    x = 11,831.15

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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.