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Finding the Fourth Proportional to 1,916.75, 2,874.62 and 529.76

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Solution

The fourth proportional to 1,916.75, 2,874.62 and 529.76 is: 794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.75 : 2,874.62 = 529.76 : x
  2. Step 2: Convert to fraction form
    1,916.75/2,874.62 = 529.76/x
  3. Step 3: Cross multiply
    1,916.75x = 2,874.62 × 529.76
  4. Step 4: Simplify right side
    1,916.75x = 1,522,867.20
  5. Step 5: Solve for x
    x = 1,522,867.20/1,916.75
  6. Step 6: Final answer
    x = 794.50

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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.