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Finding the Fourth Proportional to 7,781.58, 10,735.16 and 5,262.76

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Solution

The fourth proportional to 7,781.58, 10,735.16 and 5,262.76 is: 7,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.58 : 10,735.16 = 5,262.76 : x
  2. Step 2: Convert to fraction form
    7,781.58/10,735.16 = 5,262.76/x
  3. Step 3: Cross multiply
    7,781.58x = 10,735.16 × 5,262.76
  4. Step 4: Simplify right side
    7,781.58x = 56,496,517.49
  5. Step 5: Solve for x
    x = 56,496,517.49/7,781.58
  6. Step 6: Final answer
    x = 7,260.29

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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.