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Finding the Fourth Proportional to 26,978.03, 40,470.73 and 9,203.91

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Solution

The fourth proportional to 26,978.03, 40,470.73 and 9,203.91 is: 13,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.03 : 40,470.73 = 9,203.91 : x
  2. Step 2: Convert to fraction form
    26,978.03/40,470.73 = 9,203.91/x
  3. Step 3: Cross multiply
    26,978.03x = 40,470.73 × 9,203.91
  4. Step 4: Simplify right side
    26,978.03x = 372,488,956.55
  5. Step 5: Solve for x
    x = 372,488,956.55/26,978.03
  6. Step 6: Final answer
    x = 13,807.12

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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.