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Finding the Fourth Proportional to 7,107.95, 9,809.03 and 4,123.83

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Solution

The fourth proportional to 7,107.95, 9,809.03 and 4,123.83 is: 5,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.95 : 9,809.03 = 4,123.83 : x
  2. Step 2: Convert to fraction form
    7,107.95/9,809.03 = 4,123.83/x
  3. Step 3: Cross multiply
    7,107.95x = 9,809.03 × 4,123.83
  4. Step 4: Simplify right side
    7,107.95x = 40,450,772.18
  5. Step 5: Solve for x
    x = 40,450,772.18/7,107.95
  6. Step 6: Final answer
    x = 5,690.92

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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.