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Finding the Fourth Proportional to 3,757.77, 5,182.57 and 2,815.77

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Solution

The fourth proportional to 3,757.77, 5,182.57 and 2,815.77 is: 3,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.77 : 5,182.57 = 2,815.77 : x
  2. Step 2: Convert to fraction form
    3,757.77/5,182.57 = 2,815.77/x
  3. Step 3: Cross multiply
    3,757.77x = 5,182.57 × 2,815.77
  4. Step 4: Simplify right side
    3,757.77x = 14,592,925.13
  5. Step 5: Solve for x
    x = 14,592,925.13/3,757.77
  6. Step 6: Final answer
    x = 3,883.40

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1.5x scale

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.