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Finding the Fourth Proportional to 11,581.76, 15,989.74 and 7,609.52

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Solution

The fourth proportional to 11,581.76, 15,989.74 and 7,609.52 is: 10,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.76 : 15,989.74 = 7,609.52 : x
  2. Step 2: Convert to fraction form
    11,581.76/15,989.74 = 7,609.52/x
  3. Step 3: Cross multiply
    11,581.76x = 15,989.74 × 7,609.52
  4. Step 4: Simplify right side
    11,581.76x = 121,674,246.32
  5. Step 5: Solve for x
    x = 121,674,246.32/11,581.76
  6. Step 6: Final answer
    x = 10,505.68

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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.