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Finding the Fourth Proportional to 7,877.53, 11,772.77 and 7,422.31

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Solution

The fourth proportional to 7,877.53, 11,772.77 and 7,422.31 is: 11,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.53 : 11,772.77 = 7,422.31 : x
  2. Step 2: Convert to fraction form
    7,877.53/11,772.77 = 7,422.31/x
  3. Step 3: Cross multiply
    7,877.53x = 11,772.77 × 7,422.31
  4. Step 4: Simplify right side
    7,877.53x = 87,381,148.50
  5. Step 5: Solve for x
    x = 87,381,148.50/7,877.53
  6. Step 6: Final answer
    x = 11,092.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.