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Finding the Fourth Proportional to 20,823.68, 31,237.95 and 20,823.68

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Solution

The fourth proportional to 20,823.68, 31,237.95 and 20,823.68 is: 31,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.68 : 31,237.95 = 20,823.68 : x
  2. Step 2: Convert to fraction form
    20,823.68/31,237.95 = 20,823.68/x
  3. Step 3: Cross multiply
    20,823.68x = 31,237.95 × 20,823.68
  4. Step 4: Simplify right side
    20,823.68x = 650,489,230.84
  5. Step 5: Solve for x
    x = 650,489,230.84/20,823.68
  6. Step 6: Final answer
    x = 31,237.95

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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.