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Finding the Fourth Proportional to 8,784.74, 13,129.64 and 8,084.22

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Solution

The fourth proportional to 8,784.74, 13,129.64 and 8,084.22 is: 12,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.74 : 13,129.64 = 8,084.22 : x
  2. Step 2: Convert to fraction form
    8,784.74/13,129.64 = 8,084.22/x
  3. Step 3: Cross multiply
    8,784.74x = 13,129.64 × 8,084.22
  4. Step 4: Simplify right side
    8,784.74x = 106,142,857.86
  5. Step 5: Solve for x
    x = 106,142,857.86/8,784.74
  6. Step 6: Final answer
    x = 12,082.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.