Home / 2,117-3,172.98-1,192.16

Finding the Fourth Proportional to 2,117, 3,172.98 and 1,192.16

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Solution

The fourth proportional to 2,117, 3,172.98 and 1,192.16 is: 1,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117 : 3,172.98 = 1,192.16 : x
  2. Step 2: Convert to fraction form
    2,117/3,172.98 = 1,192.16/x
  3. Step 3: Cross multiply
    2,117x = 3,172.98 × 1,192.16
  4. Step 4: Simplify right side
    2,117x = 3,782,699.84
  5. Step 5: Solve for x
    x = 3,782,699.84/2,117
  6. Step 6: Final answer
    x = 1,786.82

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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.