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Finding the Fourth Proportional to 26,290.66, 39,455.43 and 9,661

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Solution

The fourth proportional to 26,290.66, 39,455.43 and 9,661 is: 14,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,290.66 : 39,455.43 = 9,661 : x
  2. Step 2: Convert to fraction form
    26,290.66/39,455.43 = 9,661/x
  3. Step 3: Cross multiply
    26,290.66x = 39,455.43 × 9,661
  4. Step 4: Simplify right side
    26,290.66x = 381,178,909.23
  5. Step 5: Solve for x
    x = 381,178,909.23/26,290.66
  6. Step 6: Final answer
    x = 14,498.64

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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.