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Finding the Fourth Proportional to 8,996.56, 12,407.18 and 5,639.74

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Solution

The fourth proportional to 8,996.56, 12,407.18 and 5,639.74 is: 7,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.56 : 12,407.18 = 5,639.74 : x
  2. Step 2: Convert to fraction form
    8,996.56/12,407.18 = 5,639.74/x
  3. Step 3: Cross multiply
    8,996.56x = 12,407.18 × 5,639.74
  4. Step 4: Simplify right side
    8,996.56x = 69,973,210.12
  5. Step 5: Solve for x
    x = 69,973,210.12/8,996.56
  6. Step 6: Final answer
    x = 7,777.78

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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.