Home / 11,895.86-16,412-7,178.42

Finding the Fourth Proportional to 11,895.86, 16,412 and 7,178.42

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Solution

The fourth proportional to 11,895.86, 16,412 and 7,178.42 is: 9,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.86 : 16,412 = 7,178.42 : x
  2. Step 2: Convert to fraction form
    11,895.86/16,412 = 7,178.42/x
  3. Step 3: Cross multiply
    11,895.86x = 16,412 × 7,178.42
  4. Step 4: Simplify right side
    11,895.86x = 117,812,229.04
  5. Step 5: Solve for x
    x = 117,812,229.04/11,895.86
  6. Step 6: Final answer
    x = 9,903.63

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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.