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Finding the Fourth Proportional to 8,431.83, 12,675.42 and 7,822.89

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Solution

The fourth proportional to 8,431.83, 12,675.42 and 7,822.89 is: 11,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.83 : 12,675.42 = 7,822.89 : x
  2. Step 2: Convert to fraction form
    8,431.83/12,675.42 = 7,822.89/x
  3. Step 3: Cross multiply
    8,431.83x = 12,675.42 × 7,822.89
  4. Step 4: Simplify right side
    8,431.83x = 99,158,416.36
  5. Step 5: Solve for x
    x = 99,158,416.36/8,431.83
  6. Step 6: Final answer
    x = 11,760.01

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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.