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Finding the Fourth Proportional to 5,200.71, 7,176.76 and 2,842.93

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Solution

The fourth proportional to 5,200.71, 7,176.76 and 2,842.93 is: 3,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.71 : 7,176.76 = 2,842.93 : x
  2. Step 2: Convert to fraction form
    5,200.71/7,176.76 = 2,842.93/x
  3. Step 3: Cross multiply
    5,200.71x = 7,176.76 × 2,842.93
  4. Step 4: Simplify right side
    5,200.71x = 20,403,026.31
  5. Step 5: Solve for x
    x = 20,403,026.31/5,200.71
  6. Step 6: Final answer
    x = 3,923.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.