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Finding the Fourth Proportional to 30,045.92, 45,071.43 and 7,859.26

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Solution

The fourth proportional to 30,045.92, 45,071.43 and 7,859.26 is: 11,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045.92 : 45,071.43 = 7,859.26 : x
  2. Step 2: Convert to fraction form
    30,045.92/45,071.43 = 7,859.26/x
  3. Step 3: Cross multiply
    30,045.92x = 45,071.43 × 7,859.26
  4. Step 4: Simplify right side
    30,045.92x = 354,227,882.39
  5. Step 5: Solve for x
    x = 354,227,882.39/30,045.92
  6. Step 6: Final answer
    x = 11,789.55

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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.