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Finding the Fourth Proportional to 15,688.72, 21,649.76 and 9,404.56

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Solution

The fourth proportional to 15,688.72, 21,649.76 and 9,404.56 is: 12,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.72 : 21,649.76 = 9,404.56 : x
  2. Step 2: Convert to fraction form
    15,688.72/21,649.76 = 9,404.56/x
  3. Step 3: Cross multiply
    15,688.72x = 21,649.76 × 9,404.56
  4. Step 4: Simplify right side
    15,688.72x = 203,606,466.91
  5. Step 5: Solve for x
    x = 203,606,466.91/15,688.72
  6. Step 6: Final answer
    x = 12,977.89

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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.