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Finding the Fourth Proportional to 2,874.66, 3,967.48 and 1,756.25

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Solution

The fourth proportional to 2,874.66, 3,967.48 and 1,756.25 is: 2,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.66 : 3,967.48 = 1,756.25 : x
  2. Step 2: Convert to fraction form
    2,874.66/3,967.48 = 1,756.25/x
  3. Step 3: Cross multiply
    2,874.66x = 3,967.48 × 1,756.25
  4. Step 4: Simplify right side
    2,874.66x = 6,967,883.99
  5. Step 5: Solve for x
    x = 6,967,883.99/2,874.66
  6. Step 6: Final answer
    x = 2,423.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.