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Finding the Fourth Proportional to 26,115, 39,172.50 and 6,659

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Solution

The fourth proportional to 26,115, 39,172.50 and 6,659 is: 9,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,115 : 39,172.50 = 6,659 : x
  2. Step 2: Convert to fraction form
    26,115/39,172.50 = 6,659/x
  3. Step 3: Cross multiply
    26,115x = 39,172.50 × 6,659
  4. Step 4: Simplify right side
    26,115x = 260,849,677.50
  5. Step 5: Solve for x
    x = 260,849,677.50/26,115
  6. Step 6: Final answer
    x = 9,988.50

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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.