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Finding the Fourth Proportional to 7,021.76, 9,688.90 and 4,189

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Solution

The fourth proportional to 7,021.76, 9,688.90 and 4,189 is: 5,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.76 : 9,688.90 = 4,189 : x
  2. Step 2: Convert to fraction form
    7,021.76/9,688.90 = 4,189/x
  3. Step 3: Cross multiply
    7,021.76x = 9,688.90 × 4,189
  4. Step 4: Simplify right side
    7,021.76x = 40,586,802.10
  5. Step 5: Solve for x
    x = 40,586,802.10/7,021.76
  6. Step 6: Final answer
    x = 5,780.15

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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.