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Finding the Fourth Proportional to 20,193.68, 30,303.48 and 9,799.76

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Solution

The fourth proportional to 20,193.68, 30,303.48 and 9,799.76 is: 14,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.68 : 30,303.48 = 9,799.76 : x
  2. Step 2: Convert to fraction form
    20,193.68/30,303.48 = 9,799.76/x
  3. Step 3: Cross multiply
    20,193.68x = 30,303.48 × 9,799.76
  4. Step 4: Simplify right side
    20,193.68x = 296,966,831.16
  5. Step 5: Solve for x
    x = 296,966,831.16/20,193.68
  6. Step 6: Final answer
    x = 14,705.93

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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.