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Finding the Fourth Proportional to 5,662, 7,813.80 and 3,178

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Solution

The fourth proportional to 5,662, 7,813.80 and 3,178 is: 4,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662 : 7,813.80 = 3,178 : x
  2. Step 2: Convert to fraction form
    5,662/7,813.80 = 3,178/x
  3. Step 3: Cross multiply
    5,662x = 7,813.80 × 3,178
  4. Step 4: Simplify right side
    5,662x = 24,832,256.40
  5. Step 5: Solve for x
    x = 24,832,256.40/5,662
  6. Step 6: Final answer
    x = 4,385.77

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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.