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Finding the Fourth Proportional to 1,916.74, 2,874.74 and 529.72

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Solution

The fourth proportional to 1,916.74, 2,874.74 and 529.72 is: 794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.74 : 2,874.74 = 529.72 : x
  2. Step 2: Convert to fraction form
    1,916.74/2,874.74 = 529.72/x
  3. Step 3: Cross multiply
    1,916.74x = 2,874.74 × 529.72
  4. Step 4: Simplify right side
    1,916.74x = 1,522,807.27
  5. Step 5: Solve for x
    x = 1,522,807.27/1,916.74
  6. Step 6: Final answer
    x = 794.48

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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.