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Finding the Fourth Proportional to 7,182.92, 9,911.90 and 4,038.50

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Solution

The fourth proportional to 7,182.92, 9,911.90 and 4,038.50 is: 5,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.92 : 9,911.90 = 4,038.50 : x
  2. Step 2: Convert to fraction form
    7,182.92/9,911.90 = 4,038.50/x
  3. Step 3: Cross multiply
    7,182.92x = 9,911.90 × 4,038.50
  4. Step 4: Simplify right side
    7,182.92x = 40,029,208.15
  5. Step 5: Solve for x
    x = 40,029,208.15/7,182.92
  6. Step 6: Final answer
    x = 5,572.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.