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Finding the Fourth Proportional to 7,854.70, 11,787.83 and 4,347.68

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Solution

The fourth proportional to 7,854.70, 11,787.83 and 4,347.68 is: 6,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.70 : 11,787.83 = 4,347.68 : x
  2. Step 2: Convert to fraction form
    7,854.70/11,787.83 = 4,347.68/x
  3. Step 3: Cross multiply
    7,854.70x = 11,787.83 × 4,347.68
  4. Step 4: Simplify right side
    7,854.70x = 51,249,648.36
  5. Step 5: Solve for x
    x = 51,249,648.36/7,854.70
  6. Step 6: Final answer
    x = 6,524.71

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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.