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Finding the Fourth Proportional to 39,748, 54,863.76 and 26,500

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Solution

The fourth proportional to 39,748, 54,863.76 and 26,500 is: 36,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,748 : 54,863.76 = 26,500 : x
  2. Step 2: Convert to fraction form
    39,748/54,863.76 = 26,500/x
  3. Step 3: Cross multiply
    39,748x = 54,863.76 × 26,500
  4. Step 4: Simplify right side
    39,748x = 1,453,889,640
  5. Step 5: Solve for x
    x = 1,453,889,640/39,748
  6. Step 6: Final answer
    x = 36,577.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.