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Finding the Fourth Proportional to 7,817.88, 10,781.19 and 7,245.21

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Solution

The fourth proportional to 7,817.88, 10,781.19 and 7,245.21 is: 9,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.88 : 10,781.19 = 7,245.21 : x
  2. Step 2: Convert to fraction form
    7,817.88/10,781.19 = 7,245.21/x
  3. Step 3: Cross multiply
    7,817.88x = 10,781.19 × 7,245.21
  4. Step 4: Simplify right side
    7,817.88x = 78,111,985.60
  5. Step 5: Solve for x
    x = 78,111,985.60/7,817.88
  6. Step 6: Final answer
    x = 9,991.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.