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Finding the Fourth Proportional to 7,178.76, 9,898.11 and 6,182.37

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Solution

The fourth proportional to 7,178.76, 9,898.11 and 6,182.37 is: 8,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.76 : 9,898.11 = 6,182.37 : x
  2. Step 2: Convert to fraction form
    7,178.76/9,898.11 = 6,182.37/x
  3. Step 3: Cross multiply
    7,178.76x = 9,898.11 × 6,182.37
  4. Step 4: Simplify right side
    7,178.76x = 61,193,778.32
  5. Step 5: Solve for x
    x = 61,193,778.32/7,178.76
  6. Step 6: Final answer
    x = 8,524.28

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Half scale
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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.