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Finding the Fourth Proportional to 7,182.87, 9,909.10 and 5,190.27

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Solution

The fourth proportional to 7,182.87, 9,909.10 and 5,190.27 is: 7,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.87 : 9,909.10 = 5,190.27 : x
  2. Step 2: Convert to fraction form
    7,182.87/9,909.10 = 5,190.27/x
  3. Step 3: Cross multiply
    7,182.87x = 9,909.10 × 5,190.27
  4. Step 4: Simplify right side
    7,182.87x = 51,430,904.46
  5. Step 5: Solve for x
    x = 51,430,904.46/7,182.87
  6. Step 6: Final answer
    x = 7,160.22

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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.