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Finding the Fourth Proportional to 21,217.68, 31,827.06 and 7,366.68

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Solution

The fourth proportional to 21,217.68, 31,827.06 and 7,366.68 is: 11,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,217.68 : 31,827.06 = 7,366.68 : x
  2. Step 2: Convert to fraction form
    21,217.68/31,827.06 = 7,366.68/x
  3. Step 3: Cross multiply
    21,217.68x = 31,827.06 × 7,366.68
  4. Step 4: Simplify right side
    21,217.68x = 234,459,766.36
  5. Step 5: Solve for x
    x = 234,459,766.36/21,217.68
  6. Step 6: Final answer
    x = 11,050.21

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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.