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Finding the Fourth Proportional to 5,178, 7,145.68 and 3,082

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Solution

The fourth proportional to 5,178, 7,145.68 and 3,082 is: 4,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 7,145.68 = 3,082 : x
  2. Step 2: Convert to fraction form
    5,178/7,145.68 = 3,082/x
  3. Step 3: Cross multiply
    5,178x = 7,145.68 × 3,082
  4. Step 4: Simplify right side
    5,178x = 22,022,985.76
  5. Step 5: Solve for x
    x = 22,022,985.76/5,178
  6. Step 6: Final answer
    x = 4,253.18

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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.