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Finding the Fourth Proportional to 10,903.65, 16,355.73 and 6,189.99

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Solution

The fourth proportional to 10,903.65, 16,355.73 and 6,189.99 is: 9,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.65 : 16,355.73 = 6,189.99 : x
  2. Step 2: Convert to fraction form
    10,903.65/16,355.73 = 6,189.99/x
  3. Step 3: Cross multiply
    10,903.65x = 16,355.73 × 6,189.99
  4. Step 4: Simplify right side
    10,903.65x = 101,241,805.14
  5. Step 5: Solve for x
    x = 101,241,805.14/10,903.65
  6. Step 6: Final answer
    x = 9,285.13

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1.5x scale

Why These Related Problems?

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