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Finding the Fourth Proportional to 8,322.60, 11,461.80 and 8,141.16

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Solution

The fourth proportional to 8,322.60, 11,461.80 and 8,141.16 is: 11,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.60 : 11,461.80 = 8,141.16 : x
  2. Step 2: Convert to fraction form
    8,322.60/11,461.80 = 8,141.16/x
  3. Step 3: Cross multiply
    8,322.60x = 11,461.80 × 8,141.16
  4. Step 4: Simplify right side
    8,322.60x = 93,312,347.69
  5. Step 5: Solve for x
    x = 93,312,347.69/8,322.60
  6. Step 6: Final answer
    x = 11,211.92

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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.