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Finding the Fourth Proportional to 26,557, 39,835.50 and 8,089

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Solution

The fourth proportional to 26,557, 39,835.50 and 8,089 is: 12,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,557 : 39,835.50 = 8,089 : x
  2. Step 2: Convert to fraction form
    26,557/39,835.50 = 8,089/x
  3. Step 3: Cross multiply
    26,557x = 39,835.50 × 8,089
  4. Step 4: Simplify right side
    26,557x = 322,229,359.50
  5. Step 5: Solve for x
    x = 322,229,359.50/26,557
  6. Step 6: Final answer
    x = 12,133.50

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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.