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Finding the Fourth Proportional to 10,431.69, 14,398.83 and 9,030.44

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Solution

The fourth proportional to 10,431.69, 14,398.83 and 9,030.44 is: 12,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.69 : 14,398.83 = 9,030.44 : x
  2. Step 2: Convert to fraction form
    10,431.69/14,398.83 = 9,030.44/x
  3. Step 3: Cross multiply
    10,431.69x = 14,398.83 × 9,030.44
  4. Step 4: Simplify right side
    10,431.69x = 130,027,698.39
  5. Step 5: Solve for x
    x = 130,027,698.39/10,431.69
  6. Step 6: Final answer
    x = 12,464.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.