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Finding the Fourth Proportional to 7,119.42, 9,820.11 and 5,019.90

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Solution

The fourth proportional to 7,119.42, 9,820.11 and 5,019.90 is: 6,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.42 : 9,820.11 = 5,019.90 : x
  2. Step 2: Convert to fraction form
    7,119.42/9,820.11 = 5,019.90/x
  3. Step 3: Cross multiply
    7,119.42x = 9,820.11 × 5,019.90
  4. Step 4: Simplify right side
    7,119.42x = 49,295,970.19
  5. Step 5: Solve for x
    x = 49,295,970.19/7,119.42
  6. Step 6: Final answer
    x = 6,924.16

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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.