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Finding the Fourth Proportional to 26,938.16, 40,407.16 and 12,129.74

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Solution

The fourth proportional to 26,938.16, 40,407.16 and 12,129.74 is: 18,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,938.16 : 40,407.16 = 12,129.74 : x
  2. Step 2: Convert to fraction form
    26,938.16/40,407.16 = 12,129.74/x
  3. Step 3: Cross multiply
    26,938.16x = 40,407.16 × 12,129.74
  4. Step 4: Simplify right side
    26,938.16x = 490,128,320.96
  5. Step 5: Solve for x
    x = 490,128,320.96/26,938.16
  6. Step 6: Final answer
    x = 18,194.57

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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.