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Finding the Fourth Proportional to 12,167.36, 18,256.72 and 11,970.80

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Solution

The fourth proportional to 12,167.36, 18,256.72 and 11,970.80 is: 17,961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.36 : 18,256.72 = 11,970.80 : x
  2. Step 2: Convert to fraction form
    12,167.36/18,256.72 = 11,970.80/x
  3. Step 3: Cross multiply
    12,167.36x = 18,256.72 × 11,970.80
  4. Step 4: Simplify right side
    12,167.36x = 218,547,543.78
  5. Step 5: Solve for x
    x = 218,547,543.78/12,167.36
  6. Step 6: Final answer
    x = 17,961.79

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1.5x scale

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.