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Finding the Fourth Proportional to 8,681.64, 12,996.86 and 5,384.12

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Solution

The fourth proportional to 8,681.64, 12,996.86 and 5,384.12 is: 8,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.64 : 12,996.86 = 5,384.12 : x
  2. Step 2: Convert to fraction form
    8,681.64/12,996.86 = 5,384.12/x
  3. Step 3: Cross multiply
    8,681.64x = 12,996.86 × 5,384.12
  4. Step 4: Simplify right side
    8,681.64x = 69,976,653.86
  5. Step 5: Solve for x
    x = 69,976,653.86/8,681.64
  6. Step 6: Final answer
    x = 8,060.30

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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.