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Finding the Fourth Proportional to 11,886.68, 17,792.66 and 8,167.16

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Solution

The fourth proportional to 11,886.68, 17,792.66 and 8,167.16 is: 12,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.68 : 17,792.66 = 8,167.16 : x
  2. Step 2: Convert to fraction form
    11,886.68/17,792.66 = 8,167.16/x
  3. Step 3: Cross multiply
    11,886.68x = 17,792.66 × 8,167.16
  4. Step 4: Simplify right side
    11,886.68x = 145,315,501.05
  5. Step 5: Solve for x
    x = 145,315,501.05/11,886.68
  6. Step 6: Final answer
    x = 12,225.07

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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.