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Finding the Fourth Proportional to 10,709.16, 15,990.86 and 9,449.25

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Solution

The fourth proportional to 10,709.16, 15,990.86 and 9,449.25 is: 14,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.16 : 15,990.86 = 9,449.25 : x
  2. Step 2: Convert to fraction form
    10,709.16/15,990.86 = 9,449.25/x
  3. Step 3: Cross multiply
    10,709.16x = 15,990.86 × 9,449.25
  4. Step 4: Simplify right side
    10,709.16x = 151,101,586.61
  5. Step 5: Solve for x
    x = 151,101,586.61/10,709.16
  6. Step 6: Final answer
    x = 14,109.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.