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Finding the Fourth Proportional to 11,907, 16,431.66 and 7,192.19

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Solution

The fourth proportional to 11,907, 16,431.66 and 7,192.19 is: 9,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 16,431.66 = 7,192.19 : x
  2. Step 2: Convert to fraction form
    11,907/16,431.66 = 7,192.19/x
  3. Step 3: Cross multiply
    11,907x = 16,431.66 × 7,192.19
  4. Step 4: Simplify right side
    11,907x = 118,179,661.81
  5. Step 5: Solve for x
    x = 118,179,661.81/11,907
  6. Step 6: Final answer
    x = 9,925.23

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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.