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Finding the Fourth Proportional to 20,777.76, 31,148.14 and 7,627.08

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Solution

The fourth proportional to 20,777.76, 31,148.14 and 7,627.08 is: 11,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.76 : 31,148.14 = 7,627.08 : x
  2. Step 2: Convert to fraction form
    20,777.76/31,148.14 = 7,627.08/x
  3. Step 3: Cross multiply
    20,777.76x = 31,148.14 × 7,627.08
  4. Step 4: Simplify right side
    20,777.76x = 237,569,355.63
  5. Step 5: Solve for x
    x = 237,569,355.63/20,777.76
  6. Step 6: Final answer
    x = 11,433.83

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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.