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Finding the Fourth Proportional to 7,309.98, 10,957.68 and 3,417.12

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Solution

The fourth proportional to 7,309.98, 10,957.68 and 3,417.12 is: 5,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.98 : 10,957.68 = 3,417.12 : x
  2. Step 2: Convert to fraction form
    7,309.98/10,957.68 = 3,417.12/x
  3. Step 3: Cross multiply
    7,309.98x = 10,957.68 × 3,417.12
  4. Step 4: Simplify right side
    7,309.98x = 37,443,707.48
  5. Step 5: Solve for x
    x = 37,443,707.48/7,309.98
  6. Step 6: Final answer
    x = 5,122.27

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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.