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Finding the Fourth Proportional to 5,205.66, 7,807.20 and 1,916.97

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Solution

The fourth proportional to 5,205.66, 7,807.20 and 1,916.97 is: 2,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.66 : 7,807.20 = 1,916.97 : x
  2. Step 2: Convert to fraction form
    5,205.66/7,807.20 = 1,916.97/x
  3. Step 3: Cross multiply
    5,205.66x = 7,807.20 × 1,916.97
  4. Step 4: Simplify right side
    5,205.66x = 14,966,168.18
  5. Step 5: Solve for x
    x = 14,966,168.18/5,205.66
  6. Step 6: Final answer
    x = 2,874.98

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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.