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Finding the Fourth Proportional to 10,883.84, 16,347.68 and 6,509.92

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Solution

The fourth proportional to 10,883.84, 16,347.68 and 6,509.92 is: 9,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.84 : 16,347.68 = 6,509.92 : x
  2. Step 2: Convert to fraction form
    10,883.84/16,347.68 = 6,509.92/x
  3. Step 3: Cross multiply
    10,883.84x = 16,347.68 × 6,509.92
  4. Step 4: Simplify right side
    10,883.84x = 106,422,088.99
  5. Step 5: Solve for x
    x = 106,422,088.99/10,883.84
  6. Step 6: Final answer
    x = 9,777.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.