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Finding the Fourth Proportional to 7,813, 10,781.94 and 5,825.26

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Solution

The fourth proportional to 7,813, 10,781.94 and 5,825.26 is: 8,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813 : 10,781.94 = 5,825.26 : x
  2. Step 2: Convert to fraction form
    7,813/10,781.94 = 5,825.26/x
  3. Step 3: Cross multiply
    7,813x = 10,781.94 × 5,825.26
  4. Step 4: Simplify right side
    7,813x = 62,807,603.80
  5. Step 5: Solve for x
    x = 62,807,603.80/7,813
  6. Step 6: Final answer
    x = 8,038.86

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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.