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Finding the Fourth Proportional to 20,894.76, 31,354.38 and 7,756.20

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Solution

The fourth proportional to 20,894.76, 31,354.38 and 7,756.20 is: 11,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.76 : 31,354.38 = 7,756.20 : x
  2. Step 2: Convert to fraction form
    20,894.76/31,354.38 = 7,756.20/x
  3. Step 3: Cross multiply
    20,894.76x = 31,354.38 × 7,756.20
  4. Step 4: Simplify right side
    20,894.76x = 243,190,842.16
  5. Step 5: Solve for x
    x = 243,190,842.16/20,894.76
  6. Step 6: Final answer
    x = 11,638.84

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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.