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Finding the Fourth Proportional to 22,013, 33,019.50 and 6,430.76

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Solution

The fourth proportional to 22,013, 33,019.50 and 6,430.76 is: 9,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013 : 33,019.50 = 6,430.76 : x
  2. Step 2: Convert to fraction form
    22,013/33,019.50 = 6,430.76/x
  3. Step 3: Cross multiply
    22,013x = 33,019.50 × 6,430.76
  4. Step 4: Simplify right side
    22,013x = 212,340,479.82
  5. Step 5: Solve for x
    x = 212,340,479.82/22,013
  6. Step 6: Final answer
    x = 9,646.14

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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.