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Finding the Fourth Proportional to 10,783.30, 16,165.35 and 9,616.90

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Solution

The fourth proportional to 10,783.30, 16,165.35 and 9,616.90 is: 14,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.30 : 16,165.35 = 9,616.90 : x
  2. Step 2: Convert to fraction form
    10,783.30/16,165.35 = 9,616.90/x
  3. Step 3: Cross multiply
    10,783.30x = 16,165.35 × 9,616.90
  4. Step 4: Simplify right side
    10,783.30x = 155,460,554.42
  5. Step 5: Solve for x
    x = 155,460,554.42/10,783.30
  6. Step 6: Final answer
    x = 14,416.79

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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.