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Finding the Fourth Proportional to 7,271.63, 10,033.84 and 4,127.21

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Solution

The fourth proportional to 7,271.63, 10,033.84 and 4,127.21 is: 5,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.63 : 10,033.84 = 4,127.21 : x
  2. Step 2: Convert to fraction form
    7,271.63/10,033.84 = 4,127.21/x
  3. Step 3: Cross multiply
    7,271.63x = 10,033.84 × 4,127.21
  4. Step 4: Simplify right side
    7,271.63x = 41,411,764.79
  5. Step 5: Solve for x
    x = 41,411,764.79/7,271.63
  6. Step 6: Final answer
    x = 5,694.98

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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.