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Finding the Fourth Proportional to 28,838.40, 39,782.40 and 26,563.20

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Solution

The fourth proportional to 28,838.40, 39,782.40 and 26,563.20 is: 36,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,838.40 : 39,782.40 = 26,563.20 : x
  2. Step 2: Convert to fraction form
    28,838.40/39,782.40 = 26,563.20/x
  3. Step 3: Cross multiply
    28,838.40x = 39,782.40 × 26,563.20
  4. Step 4: Simplify right side
    28,838.40x = 1,056,747,847.68
  5. Step 5: Solve for x
    x = 1,056,747,847.68/28,838.40
  6. Step 6: Final answer
    x = 36,643.78

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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.