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Finding the Fourth Proportional to 7,127.72, 9,833.64 and 4,474.16

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Solution

The fourth proportional to 7,127.72, 9,833.64 and 4,474.16 is: 6,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.72 : 9,833.64 = 4,474.16 : x
  2. Step 2: Convert to fraction form
    7,127.72/9,833.64 = 4,474.16/x
  3. Step 3: Cross multiply
    7,127.72x = 9,833.64 × 4,474.16
  4. Step 4: Simplify right side
    7,127.72x = 43,997,278.74
  5. Step 5: Solve for x
    x = 43,997,278.74/7,127.72
  6. Step 6: Final answer
    x = 6,172.70

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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.