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Finding the Fourth Proportional to 2,517, 3,775.72 and 785.64

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Solution

The fourth proportional to 2,517, 3,775.72 and 785.64 is: 1,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517 : 3,775.72 = 785.64 : x
  2. Step 2: Convert to fraction form
    2,517/3,775.72 = 785.64/x
  3. Step 3: Cross multiply
    2,517x = 3,775.72 × 785.64
  4. Step 4: Simplify right side
    2,517x = 2,966,356.66
  5. Step 5: Solve for x
    x = 2,966,356.66/2,517
  6. Step 6: Final answer
    x = 1,178.53

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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.