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Finding the Fourth Proportional to 5,290, 7,300.20 and 3,082

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Solution

The fourth proportional to 5,290, 7,300.20 and 3,082 is: 4,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290 : 7,300.20 = 3,082 : x
  2. Step 2: Convert to fraction form
    5,290/7,300.20 = 3,082/x
  3. Step 3: Cross multiply
    5,290x = 7,300.20 × 3,082
  4. Step 4: Simplify right side
    5,290x = 22,499,216.40
  5. Step 5: Solve for x
    x = 22,499,216.40/5,290
  6. Step 6: Final answer
    x = 4,253.16

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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.