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Finding the Fourth Proportional to 7,877.38, 11,804.16 and 4,753.91

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Solution

The fourth proportional to 7,877.38, 11,804.16 and 4,753.91 is: 7,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.38 : 11,804.16 = 4,753.91 : x
  2. Step 2: Convert to fraction form
    7,877.38/11,804.16 = 4,753.91/x
  3. Step 3: Cross multiply
    7,877.38x = 11,804.16 × 4,753.91
  4. Step 4: Simplify right side
    7,877.38x = 56,115,914.27
  5. Step 5: Solve for x
    x = 56,115,914.27/7,877.38
  6. Step 6: Final answer
    x = 7,123.68

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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.