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Finding the Fourth Proportional to 10,809, 14,916.42 and 6,617.25

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Solution

The fourth proportional to 10,809, 14,916.42 and 6,617.25 is: 9,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809 : 14,916.42 = 6,617.25 : x
  2. Step 2: Convert to fraction form
    10,809/14,916.42 = 6,617.25/x
  3. Step 3: Cross multiply
    10,809x = 14,916.42 × 6,617.25
  4. Step 4: Simplify right side
    10,809x = 98,705,680.25
  5. Step 5: Solve for x
    x = 98,705,680.25/10,809
  6. Step 6: Final answer
    x = 9,131.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.