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Finding the Fourth Proportional to 5,695.72, 7,860.14 and 3,178

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Solution

The fourth proportional to 5,695.72, 7,860.14 and 3,178 is: 4,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.72 : 7,860.14 = 3,178 : x
  2. Step 2: Convert to fraction form
    5,695.72/7,860.14 = 3,178/x
  3. Step 3: Cross multiply
    5,695.72x = 7,860.14 × 3,178
  4. Step 4: Simplify right side
    5,695.72x = 24,979,524.92
  5. Step 5: Solve for x
    x = 24,979,524.92/5,695.72
  6. Step 6: Final answer
    x = 4,385.67

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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.