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Finding the Fourth Proportional to 39,000.78, 53,821.04 and 22,005

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Solution

The fourth proportional to 39,000.78, 53,821.04 and 22,005 is: 30,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,000.78 : 53,821.04 = 22,005 : x
  2. Step 2: Convert to fraction form
    39,000.78/53,821.04 = 22,005/x
  3. Step 3: Cross multiply
    39,000.78x = 53,821.04 × 22,005
  4. Step 4: Simplify right side
    39,000.78x = 1,184,331,875.18
  5. Step 5: Solve for x
    x = 1,184,331,875.18/39,000.78
  6. Step 6: Final answer
    x = 30,366.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.