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Finding the Fourth Proportional to 26,339.25, 39,515.76 and 7,871.25

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Solution

The fourth proportional to 26,339.25, 39,515.76 and 7,871.25 is: 11,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,339.25 : 39,515.76 = 7,871.25 : x
  2. Step 2: Convert to fraction form
    26,339.25/39,515.76 = 7,871.25/x
  3. Step 3: Cross multiply
    26,339.25x = 39,515.76 × 7,871.25
  4. Step 4: Simplify right side
    26,339.25x = 311,038,425.90
  5. Step 5: Solve for x
    x = 311,038,425.90/26,339.25
  6. Step 6: Final answer
    x = 11,808.93

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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.