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Finding the Fourth Proportional to 28,278.70, 42,416.70 and 9,556.90

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Solution

The fourth proportional to 28,278.70, 42,416.70 and 9,556.90 is: 14,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,278.70 : 42,416.70 = 9,556.90 : x
  2. Step 2: Convert to fraction form
    28,278.70/42,416.70 = 9,556.90/x
  3. Step 3: Cross multiply
    28,278.70x = 42,416.70 × 9,556.90
  4. Step 4: Simplify right side
    28,278.70x = 405,372,160.23
  5. Step 5: Solve for x
    x = 405,372,160.23/28,278.70
  6. Step 6: Final answer
    x = 14,334.89

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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.