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Finding the Fourth Proportional to 26,970.18, 40,448.78 and 13,815.78

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Solution

The fourth proportional to 26,970.18, 40,448.78 and 13,815.78 is: 20,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970.18 : 40,448.78 = 13,815.78 : x
  2. Step 2: Convert to fraction form
    26,970.18/40,448.78 = 13,815.78/x
  3. Step 3: Cross multiply
    26,970.18x = 40,448.78 × 13,815.78
  4. Step 4: Simplify right side
    26,970.18x = 558,831,243.50
  5. Step 5: Solve for x
    x = 558,831,243.50/26,970.18
  6. Step 6: Final answer
    x = 20,720.34

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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.