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Finding the Fourth Proportional to 10,086.66, 15,220.98 and 9,720.54

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Solution

The fourth proportional to 10,086.66, 15,220.98 and 9,720.54 is: 14,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.66 : 15,220.98 = 9,720.54 : x
  2. Step 2: Convert to fraction form
    10,086.66/15,220.98 = 9,720.54/x
  3. Step 3: Cross multiply
    10,086.66x = 15,220.98 × 9,720.54
  4. Step 4: Simplify right side
    10,086.66x = 147,956,144.93
  5. Step 5: Solve for x
    x = 147,956,144.93/10,086.66
  6. Step 6: Final answer
    x = 14,668.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.