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Finding the Fourth Proportional to 11,489.53, 15,855.16 and 7,020.76

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Solution

The fourth proportional to 11,489.53, 15,855.16 and 7,020.76 is: 9,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.53 : 15,855.16 = 7,020.76 : x
  2. Step 2: Convert to fraction form
    11,489.53/15,855.16 = 7,020.76/x
  3. Step 3: Cross multiply
    11,489.53x = 15,855.16 × 7,020.76
  4. Step 4: Simplify right side
    11,489.53x = 111,315,273.12
  5. Step 5: Solve for x
    x = 111,315,273.12/11,489.53
  6. Step 6: Final answer
    x = 9,688.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.