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Finding the Fourth Proportional to 10,435.66, 15,646.55 and 5,425.73

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Solution

The fourth proportional to 10,435.66, 15,646.55 and 5,425.73 is: 8,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.66 : 15,646.55 = 5,425.73 : x
  2. Step 2: Convert to fraction form
    10,435.66/15,646.55 = 5,425.73/x
  3. Step 3: Cross multiply
    10,435.66x = 15,646.55 × 5,425.73
  4. Step 4: Simplify right side
    10,435.66x = 84,893,850.37
  5. Step 5: Solve for x
    x = 84,893,850.37/10,435.66
  6. Step 6: Final answer
    x = 8,134.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.