Home / 12,306.96-16,974-10,892.16

Finding the Fourth Proportional to 12,306.96, 16,974 and 10,892.16

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Solution

The fourth proportional to 12,306.96, 16,974 and 10,892.16 is: 15,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.96 : 16,974 = 10,892.16 : x
  2. Step 2: Convert to fraction form
    12,306.96/16,974 = 10,892.16/x
  3. Step 3: Cross multiply
    12,306.96x = 16,974 × 10,892.16
  4. Step 4: Simplify right side
    12,306.96x = 184,883,523.84
  5. Step 5: Solve for x
    x = 184,883,523.84/12,306.96
  6. Step 6: Final answer
    x = 15,022.68

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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.