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Finding the Fourth Proportional to 7,881.58, 11,826.42 and 4,769.02

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Solution

The fourth proportional to 7,881.58, 11,826.42 and 4,769.02 is: 7,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.58 : 11,826.42 = 4,769.02 : x
  2. Step 2: Convert to fraction form
    7,881.58/11,826.42 = 4,769.02/x
  3. Step 3: Cross multiply
    7,881.58x = 11,826.42 × 4,769.02
  4. Step 4: Simplify right side
    7,881.58x = 56,400,433.51
  5. Step 5: Solve for x
    x = 56,400,433.51/7,881.58
  6. Step 6: Final answer
    x = 7,155.98

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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.