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Finding the Fourth Proportional to 11,301.90, 15,594.96 and 6,456.28

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Solution

The fourth proportional to 11,301.90, 15,594.96 and 6,456.28 is: 8,908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.90 : 15,594.96 = 6,456.28 : x
  2. Step 2: Convert to fraction form
    11,301.90/15,594.96 = 6,456.28/x
  3. Step 3: Cross multiply
    11,301.90x = 15,594.96 × 6,456.28
  4. Step 4: Simplify right side
    11,301.90x = 100,685,428.35
  5. Step 5: Solve for x
    x = 100,685,428.35/11,301.90
  6. Step 6: Final answer
    x = 8,908.72

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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.