Home / 12,380.16-17,088-7,971.84

Finding the Fourth Proportional to 12,380.16, 17,088 and 7,971.84

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Solution

The fourth proportional to 12,380.16, 17,088 and 7,971.84 is: 11,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.16 : 17,088 = 7,971.84 : x
  2. Step 2: Convert to fraction form
    12,380.16/17,088 = 7,971.84/x
  3. Step 3: Cross multiply
    12,380.16x = 17,088 × 7,971.84
  4. Step 4: Simplify right side
    12,380.16x = 136,222,801.92
  5. Step 5: Solve for x
    x = 136,222,801.92/12,380.16
  6. Step 6: Final answer
    x = 11,003.32

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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.