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Finding the Fourth Proportional to 19,916.01, 29,874.02 and 6,777.81

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Solution

The fourth proportional to 19,916.01, 29,874.02 and 6,777.81 is: 10,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,916.01 : 29,874.02 = 6,777.81 : x
  2. Step 2: Convert to fraction form
    19,916.01/29,874.02 = 6,777.81/x
  3. Step 3: Cross multiply
    19,916.01x = 29,874.02 × 6,777.81
  4. Step 4: Simplify right side
    19,916.01x = 202,480,397.61
  5. Step 5: Solve for x
    x = 202,480,397.61/19,916.01
  6. Step 6: Final answer
    x = 10,166.72

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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.