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Finding the Fourth Proportional to 7,300.33, 10,947.76 and 3,402

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Solution

The fourth proportional to 7,300.33, 10,947.76 and 3,402 is: 5,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.33 : 10,947.76 = 3,402 : x
  2. Step 2: Convert to fraction form
    7,300.33/10,947.76 = 3,402/x
  3. Step 3: Cross multiply
    7,300.33x = 10,947.76 × 3,402
  4. Step 4: Simplify right side
    7,300.33x = 37,244,271.02
  5. Step 5: Solve for x
    x = 37,244,271.02/7,300.33
  6. Step 6: Final answer
    x = 5,101.73

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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.