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Finding the Fourth Proportional to 5,465.64, 8,193.54 and 2,178

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Solution

The fourth proportional to 5,465.64, 8,193.54 and 2,178 is: 3,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.64 : 8,193.54 = 2,178 : x
  2. Step 2: Convert to fraction form
    5,465.64/8,193.54 = 2,178/x
  3. Step 3: Cross multiply
    5,465.64x = 8,193.54 × 2,178
  4. Step 4: Simplify right side
    5,465.64x = 17,845,530.12
  5. Step 5: Solve for x
    x = 17,845,530.12/5,465.64
  6. Step 6: Final answer
    x = 3,265.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.