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Finding the Fourth Proportional to 27,122, 40,657.35 and 20,448.14

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Solution

The fourth proportional to 27,122, 40,657.35 and 20,448.14 is: 30,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122 : 40,657.35 = 20,448.14 : x
  2. Step 2: Convert to fraction form
    27,122/40,657.35 = 20,448.14/x
  3. Step 3: Cross multiply
    27,122x = 40,657.35 × 20,448.14
  4. Step 4: Simplify right side
    27,122x = 831,367,184.83
  5. Step 5: Solve for x
    x = 831,367,184.83/27,122
  6. Step 6: Final answer
    x = 30,652.87

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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.