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Finding the Fourth Proportional to 15,431.40, 21,295.08 and 8,357.76

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Solution

The fourth proportional to 15,431.40, 21,295.08 and 8,357.76 is: 11,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431.40 : 21,295.08 = 8,357.76 : x
  2. Step 2: Convert to fraction form
    15,431.40/21,295.08 = 8,357.76/x
  3. Step 3: Cross multiply
    15,431.40x = 21,295.08 × 8,357.76
  4. Step 4: Simplify right side
    15,431.40x = 177,979,167.82
  5. Step 5: Solve for x
    x = 177,979,167.82/15,431.40
  6. Step 6: Final answer
    x = 11,533.57

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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.