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Finding the Fourth Proportional to 26,402.34, 39,578.71 and 8,859.87

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Solution

The fourth proportional to 26,402.34, 39,578.71 and 8,859.87 is: 13,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,402.34 : 39,578.71 = 8,859.87 : x
  2. Step 2: Convert to fraction form
    26,402.34/39,578.71 = 8,859.87/x
  3. Step 3: Cross multiply
    26,402.34x = 39,578.71 × 8,859.87
  4. Step 4: Simplify right side
    26,402.34x = 350,662,225.37
  5. Step 5: Solve for x
    x = 350,662,225.37/26,402.34
  6. Step 6: Final answer
    x = 13,281.48

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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.