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Finding the Fourth Proportional to 26,898.38, 40,354.04 and 8,430.38

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Solution

The fourth proportional to 26,898.38, 40,354.04 and 8,430.38 is: 12,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,898.38 : 40,354.04 = 8,430.38 : x
  2. Step 2: Convert to fraction form
    26,898.38/40,354.04 = 8,430.38/x
  3. Step 3: Cross multiply
    26,898.38x = 40,354.04 × 8,430.38
  4. Step 4: Simplify right side
    26,898.38x = 340,199,711.04
  5. Step 5: Solve for x
    x = 340,199,711.04/26,898.38
  6. Step 6: Final answer
    x = 12,647.59

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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.