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Finding the Fourth Proportional to 7,439.46, 11,159.16 and 2,822.46

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Solution

The fourth proportional to 7,439.46, 11,159.16 and 2,822.46 is: 4,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.46 : 11,159.16 = 2,822.46 : x
  2. Step 2: Convert to fraction form
    7,439.46/11,159.16 = 2,822.46/x
  3. Step 3: Cross multiply
    7,439.46x = 11,159.16 × 2,822.46
  4. Step 4: Simplify right side
    7,439.46x = 31,496,282.73
  5. Step 5: Solve for x
    x = 31,496,282.73/7,439.46
  6. Step 6: Final answer
    x = 4,233.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.