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Finding the Fourth Proportional to 8,164.68, 11,261.16 and 7,100.16

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Solution

The fourth proportional to 8,164.68, 11,261.16 and 7,100.16 is: 9,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.68 : 11,261.16 = 7,100.16 : x
  2. Step 2: Convert to fraction form
    8,164.68/11,261.16 = 7,100.16/x
  3. Step 3: Cross multiply
    8,164.68x = 11,261.16 × 7,100.16
  4. Step 4: Simplify right side
    8,164.68x = 79,956,037.79
  5. Step 5: Solve for x
    x = 79,956,037.79/8,164.68
  6. Step 6: Final answer
    x = 9,792.92

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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.