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Finding the Fourth Proportional to 7,199.75, 9,938.99 and 5,077.01

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Solution

The fourth proportional to 7,199.75, 9,938.99 and 5,077.01 is: 7,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.75 : 9,938.99 = 5,077.01 : x
  2. Step 2: Convert to fraction form
    7,199.75/9,938.99 = 5,077.01/x
  3. Step 3: Cross multiply
    7,199.75x = 9,938.99 × 5,077.01
  4. Step 4: Simplify right side
    7,199.75x = 50,460,326.23
  5. Step 5: Solve for x
    x = 50,460,326.23/7,199.75
  6. Step 6: Final answer
    x = 7,008.62

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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.