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Finding the Fourth Proportional to 26,440, 39,666.48 and 7,972

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Solution

The fourth proportional to 26,440, 39,666.48 and 7,972 is: 11,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,440 : 39,666.48 = 7,972 : x
  2. Step 2: Convert to fraction form
    26,440/39,666.48 = 7,972/x
  3. Step 3: Cross multiply
    26,440x = 39,666.48 × 7,972
  4. Step 4: Simplify right side
    26,440x = 316,221,178.56
  5. Step 5: Solve for x
    x = 316,221,178.56/26,440
  6. Step 6: Final answer
    x = 11,959.95

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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.