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Finding the Fourth Proportional to 5,289.46, 7,932.76 and 1,590.86

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Solution

The fourth proportional to 5,289.46, 7,932.76 and 1,590.86 is: 2,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.46 : 7,932.76 = 1,590.86 : x
  2. Step 2: Convert to fraction form
    5,289.46/7,932.76 = 1,590.86/x
  3. Step 3: Cross multiply
    5,289.46x = 7,932.76 × 1,590.86
  4. Step 4: Simplify right side
    5,289.46x = 12,619,910.57
  5. Step 5: Solve for x
    x = 12,619,910.57/5,289.46
  6. Step 6: Final answer
    x = 2,385.86

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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.