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Finding the Fourth Proportional to 5,695.54, 7,857.03 and 3,807.72

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Solution

The fourth proportional to 5,695.54, 7,857.03 and 3,807.72 is: 5,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.54 : 7,857.03 = 3,807.72 : x
  2. Step 2: Convert to fraction form
    5,695.54/7,857.03 = 3,807.72/x
  3. Step 3: Cross multiply
    5,695.54x = 7,857.03 × 3,807.72
  4. Step 4: Simplify right side
    5,695.54x = 29,917,313.75
  5. Step 5: Solve for x
    x = 29,917,313.75/5,695.54
  6. Step 6: Final answer
    x = 5,252.76

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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.