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Finding the Fourth Proportional to 21,113.88, 31,672.64 and 5,531.50

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Solution

The fourth proportional to 21,113.88, 31,672.64 and 5,531.50 is: 8,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.88 : 31,672.64 = 5,531.50 : x
  2. Step 2: Convert to fraction form
    21,113.88/31,672.64 = 5,531.50/x
  3. Step 3: Cross multiply
    21,113.88x = 31,672.64 × 5,531.50
  4. Step 4: Simplify right side
    21,113.88x = 175,197,208.16
  5. Step 5: Solve for x
    x = 175,197,208.16/21,113.88
  6. Step 6: Final answer
    x = 8,297.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.