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Finding the Fourth Proportional to 51,971.54, 71,720.51 and 28,098.21

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Solution

The fourth proportional to 51,971.54, 71,720.51 and 28,098.21 is: 38,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,971.54 : 71,720.51 = 28,098.21 : x
  2. Step 2: Convert to fraction form
    51,971.54/71,720.51 = 28,098.21/x
  3. Step 3: Cross multiply
    51,971.54x = 71,720.51 × 28,098.21
  4. Step 4: Simplify right side
    51,971.54x = 2,015,217,810.80
  5. Step 5: Solve for x
    x = 2,015,217,810.80/51,971.54
  6. Step 6: Final answer
    x = 38,775.41

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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.