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Finding the Fourth Proportional to 20,653.97, 30,971.34 and 10,124.51

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Solution

The fourth proportional to 20,653.97, 30,971.34 and 10,124.51 is: 15,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.97 : 30,971.34 = 10,124.51 : x
  2. Step 2: Convert to fraction form
    20,653.97/30,971.34 = 10,124.51/x
  3. Step 3: Cross multiply
    20,653.97x = 30,971.34 × 10,124.51
  4. Step 4: Simplify right side
    20,653.97x = 313,569,486.69
  5. Step 5: Solve for x
    x = 313,569,486.69/20,653.97
  6. Step 6: Final answer
    x = 15,182.05

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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.