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Finding the Fourth Proportional to 7,820.52, 11,706.96 and 5,348.40

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Solution

The fourth proportional to 7,820.52, 11,706.96 and 5,348.40 is: 8,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.52 : 11,706.96 = 5,348.40 : x
  2. Step 2: Convert to fraction form
    7,820.52/11,706.96 = 5,348.40/x
  3. Step 3: Cross multiply
    7,820.52x = 11,706.96 × 5,348.40
  4. Step 4: Simplify right side
    7,820.52x = 62,613,504.86
  5. Step 5: Solve for x
    x = 62,613,504.86/7,820.52
  6. Step 6: Final answer
    x = 8,006.31

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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.