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Finding the Fourth Proportional to 7,877.98, 11,816.98 and 5,405.31

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Solution

The fourth proportional to 7,877.98, 11,816.98 and 5,405.31 is: 8,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.98 : 11,816.98 = 5,405.31 : x
  2. Step 2: Convert to fraction form
    7,877.98/11,816.98 = 5,405.31/x
  3. Step 3: Cross multiply
    7,877.98x = 11,816.98 × 5,405.31
  4. Step 4: Simplify right side
    7,877.98x = 63,874,385.81
  5. Step 5: Solve for x
    x = 63,874,385.81/7,877.98
  6. Step 6: Final answer
    x = 8,107.96

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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.