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Finding the Fourth Proportional to 7,130.92, 9,843.38 and 6,383.50

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Solution

The fourth proportional to 7,130.92, 9,843.38 and 6,383.50 is: 8,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.92 : 9,843.38 = 6,383.50 : x
  2. Step 2: Convert to fraction form
    7,130.92/9,843.38 = 6,383.50/x
  3. Step 3: Cross multiply
    7,130.92x = 9,843.38 × 6,383.50
  4. Step 4: Simplify right side
    7,130.92x = 62,835,216.23
  5. Step 5: Solve for x
    x = 62,835,216.23/7,130.92
  6. Step 6: Final answer
    x = 8,811.66

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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.