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Finding the Fourth Proportional to 10,081.60, 15,129.60 and 5,694.40

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Solution

The fourth proportional to 10,081.60, 15,129.60 and 5,694.40 is: 8,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.60 : 15,129.60 = 5,694.40 : x
  2. Step 2: Convert to fraction form
    10,081.60/15,129.60 = 5,694.40/x
  3. Step 3: Cross multiply
    10,081.60x = 15,129.60 × 5,694.40
  4. Step 4: Simplify right side
    10,081.60x = 86,153,994.24
  5. Step 5: Solve for x
    x = 86,153,994.24/10,081.60
  6. Step 6: Final answer
    x = 8,545.67

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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.