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Finding the Fourth Proportional to 5,287.96, 7,931.34 and 1,392.67

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Solution

The fourth proportional to 5,287.96, 7,931.34 and 1,392.67 is: 2,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.96 : 7,931.34 = 1,392.67 : x
  2. Step 2: Convert to fraction form
    5,287.96/7,931.34 = 1,392.67/x
  3. Step 3: Cross multiply
    5,287.96x = 7,931.34 × 1,392.67
  4. Step 4: Simplify right side
    5,287.96x = 11,045,739.28
  5. Step 5: Solve for x
    x = 11,045,739.28/5,287.96
  6. Step 6: Final answer
    x = 2,088.85

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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.