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Finding the Fourth Proportional to 26,640, 39,967.83 and 7,920.18

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Solution

The fourth proportional to 26,640, 39,967.83 and 7,920.18 is: 11,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,640 : 39,967.83 = 7,920.18 : x
  2. Step 2: Convert to fraction form
    26,640/39,967.83 = 7,920.18/x
  3. Step 3: Cross multiply
    26,640x = 39,967.83 × 7,920.18
  4. Step 4: Simplify right side
    26,640x = 316,552,407.81
  5. Step 5: Solve for x
    x = 316,552,407.81/26,640
  6. Step 6: Final answer
    x = 11,882.60

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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.