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Finding the Fourth Proportional to 20,894.53, 31,346.41 and 7,746.90

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Solution

The fourth proportional to 20,894.53, 31,346.41 and 7,746.90 is: 11,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.53 : 31,346.41 = 7,746.90 : x
  2. Step 2: Convert to fraction form
    20,894.53/31,346.41 = 7,746.90/x
  3. Step 3: Cross multiply
    20,894.53x = 31,346.41 × 7,746.90
  4. Step 4: Simplify right side
    20,894.53x = 242,837,503.63
  5. Step 5: Solve for x
    x = 242,837,503.63/20,894.53
  6. Step 6: Final answer
    x = 11,622.06

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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.