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Finding the Fourth Proportional to 7,127.86, 10,693.76 and 2,969.82

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Solution

The fourth proportional to 7,127.86, 10,693.76 and 2,969.82 is: 4,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.86 : 10,693.76 = 2,969.82 : x
  2. Step 2: Convert to fraction form
    7,127.86/10,693.76 = 2,969.82/x
  3. Step 3: Cross multiply
    7,127.86x = 10,693.76 × 2,969.82
  4. Step 4: Simplify right side
    7,127.86x = 31,758,542.32
  5. Step 5: Solve for x
    x = 31,758,542.32/7,127.86
  6. Step 6: Final answer
    x = 4,455.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.