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Finding the Fourth Proportional to 3,864.40, 5,332.40 and 2,744.93

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Solution

The fourth proportional to 3,864.40, 5,332.40 and 2,744.93 is: 3,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.40 : 5,332.40 = 2,744.93 : x
  2. Step 2: Convert to fraction form
    3,864.40/5,332.40 = 2,744.93/x
  3. Step 3: Cross multiply
    3,864.40x = 5,332.40 × 2,744.93
  4. Step 4: Simplify right side
    3,864.40x = 14,637,064.73
  5. Step 5: Solve for x
    x = 14,637,064.73/3,864.40
  6. Step 6: Final answer
    x = 3,787.67

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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.