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Finding the Fourth Proportional to 7,813, 10,781.94 and 4,276.24

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Solution

The fourth proportional to 7,813, 10,781.94 and 4,276.24 is: 5,901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813 : 10,781.94 = 4,276.24 : x
  2. Step 2: Convert to fraction form
    7,813/10,781.94 = 4,276.24/x
  3. Step 3: Cross multiply
    7,813x = 10,781.94 × 4,276.24
  4. Step 4: Simplify right side
    7,813x = 46,106,163.11
  5. Step 5: Solve for x
    x = 46,106,163.11/7,813
  6. Step 6: Final answer
    x = 5,901.21

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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.