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Finding the Fourth Proportional to 7,461.80, 11,192.70 and 5,347.70

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Solution

The fourth proportional to 7,461.80, 11,192.70 and 5,347.70 is: 8,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.80 : 11,192.70 = 5,347.70 : x
  2. Step 2: Convert to fraction form
    7,461.80/11,192.70 = 5,347.70/x
  3. Step 3: Cross multiply
    7,461.80x = 11,192.70 × 5,347.70
  4. Step 4: Simplify right side
    7,461.80x = 59,855,201.79
  5. Step 5: Solve for x
    x = 59,855,201.79/7,461.80
  6. Step 6: Final answer
    x = 8,021.55

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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.