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Finding the Fourth Proportional to 10,042.65, 15,064.92 and 5,688.09

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Solution

The fourth proportional to 10,042.65, 15,064.92 and 5,688.09 is: 8,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.65 : 15,064.92 = 5,688.09 : x
  2. Step 2: Convert to fraction form
    10,042.65/15,064.92 = 5,688.09/x
  3. Step 3: Cross multiply
    10,042.65x = 15,064.92 × 5,688.09
  4. Step 4: Simplify right side
    10,042.65x = 85,690,620.80
  5. Step 5: Solve for x
    x = 85,690,620.80/10,042.65
  6. Step 6: Final answer
    x = 8,532.67

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1.5x scale

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.