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Finding the Fourth Proportional to 20,842.76, 31,222.26 and 9,734.12

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Solution

The fourth proportional to 20,842.76, 31,222.26 and 9,734.12 is: 14,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.76 : 31,222.26 = 9,734.12 : x
  2. Step 2: Convert to fraction form
    20,842.76/31,222.26 = 9,734.12/x
  3. Step 3: Cross multiply
    20,842.76x = 31,222.26 × 9,734.12
  4. Step 4: Simplify right side
    20,842.76x = 303,921,225.51
  5. Step 5: Solve for x
    x = 303,921,225.51/20,842.76
  6. Step 6: Final answer
    x = 14,581.62

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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.