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Finding the Fourth Proportional to 10,089.83, 13,917.49 and 6,509.36

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Solution

The fourth proportional to 10,089.83, 13,917.49 and 6,509.36 is: 8,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.83 : 13,917.49 = 6,509.36 : x
  2. Step 2: Convert to fraction form
    10,089.83/13,917.49 = 6,509.36/x
  3. Step 3: Cross multiply
    10,089.83x = 13,917.49 × 6,509.36
  4. Step 4: Simplify right side
    10,089.83x = 90,593,971.23
  5. Step 5: Solve for x
    x = 90,593,971.23/10,089.83
  6. Step 6: Final answer
    x = 8,978.74

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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.