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Finding the Fourth Proportional to 20,900.93, 31,342.68 and 7,746.12

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Solution

The fourth proportional to 20,900.93, 31,342.68 and 7,746.12 is: 11,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.93 : 31,342.68 = 7,746.12 : x
  2. Step 2: Convert to fraction form
    20,900.93/31,342.68 = 7,746.12/x
  3. Step 3: Cross multiply
    20,900.93x = 31,342.68 × 7,746.12
  4. Step 4: Simplify right side
    20,900.93x = 242,784,160.40
  5. Step 5: Solve for x
    x = 242,784,160.40/20,900.93
  6. Step 6: Final answer
    x = 11,615.95

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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.