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Finding the Fourth Proportional to 10,481.64, 15,722.43 and 2,690.45

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Solution

The fourth proportional to 10,481.64, 15,722.43 and 2,690.45 is: 4,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.64 : 15,722.43 = 2,690.45 : x
  2. Step 2: Convert to fraction form
    10,481.64/15,722.43 = 2,690.45/x
  3. Step 3: Cross multiply
    10,481.64x = 15,722.43 × 2,690.45
  4. Step 4: Simplify right side
    10,481.64x = 42,300,411.79
  5. Step 5: Solve for x
    x = 42,300,411.79/10,481.64
  6. Step 6: Final answer
    x = 4,035.67

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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.