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Finding the Fourth Proportional to 7,306, 10,959.06 and 2,111.92

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Solution

The fourth proportional to 7,306, 10,959.06 and 2,111.92 is: 3,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306 : 10,959.06 = 2,111.92 : x
  2. Step 2: Convert to fraction form
    7,306/10,959.06 = 2,111.92/x
  3. Step 3: Cross multiply
    7,306x = 10,959.06 × 2,111.92
  4. Step 4: Simplify right side
    7,306x = 23,144,658.00
  5. Step 5: Solve for x
    x = 23,144,658.00/7,306
  6. Step 6: Final answer
    x = 3,167.90

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Why These Related Problems?

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