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Finding the Fourth Proportional to 4,678.86, 7,019.37 and 2,082

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Solution

The fourth proportional to 4,678.86, 7,019.37 and 2,082 is: 3,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.86 : 7,019.37 = 2,082 : x
  2. Step 2: Convert to fraction form
    4,678.86/7,019.37 = 2,082/x
  3. Step 3: Cross multiply
    4,678.86x = 7,019.37 × 2,082
  4. Step 4: Simplify right side
    4,678.86x = 14,614,328.34
  5. Step 5: Solve for x
    x = 14,614,328.34/4,678.86
  6. Step 6: Final answer
    x = 3,123.48

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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.