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Finding the Fourth Proportional to 7,810.86, 11,718 and 3,648.60

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Solution

The fourth proportional to 7,810.86, 11,718 and 3,648.60 is: 5,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.86 : 11,718 = 3,648.60 : x
  2. Step 2: Convert to fraction form
    7,810.86/11,718 = 3,648.60/x
  3. Step 3: Cross multiply
    7,810.86x = 11,718 × 3,648.60
  4. Step 4: Simplify right side
    7,810.86x = 42,754,294.80
  5. Step 5: Solve for x
    x = 42,754,294.80/7,810.86
  6. Step 6: Final answer
    x = 5,473.70

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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.