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Finding the Fourth Proportional to 26,929.70, 40,378.35 and 13,807.70

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Solution

The fourth proportional to 26,929.70, 40,378.35 and 13,807.70 is: 20,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,929.70 : 40,378.35 = 13,807.70 : x
  2. Step 2: Convert to fraction form
    26,929.70/40,378.35 = 13,807.70/x
  3. Step 3: Cross multiply
    26,929.70x = 40,378.35 × 13,807.70
  4. Step 4: Simplify right side
    26,929.70x = 557,532,143.30
  5. Step 5: Solve for x
    x = 557,532,143.30/26,929.70
  6. Step 6: Final answer
    x = 20,703.24

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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.