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Finding the Fourth Proportional to 26,687.49, 40,036.95 and 7,969.00

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Solution

The fourth proportional to 26,687.49, 40,036.95 and 7,969.00 is: 11,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,687.49 : 40,036.95 = 7,969.00 : x
  2. Step 2: Convert to fraction form
    26,687.49/40,036.95 = 7,969.00/x
  3. Step 3: Cross multiply
    26,687.49x = 40,036.95 × 7,969.00
  4. Step 4: Simplify right side
    26,687.49x = 319,054,214.52
  5. Step 5: Solve for x
    x = 319,054,214.52/26,687.49
  6. Step 6: Final answer
    x = 11,955.20

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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.