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Finding the Fourth Proportional to 9,512.68, 13,097.68 and 8,637.88

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Solution

The fourth proportional to 9,512.68, 13,097.68 and 8,637.88 is: 11,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.68 : 13,097.68 = 8,637.88 : x
  2. Step 2: Convert to fraction form
    9,512.68/13,097.68 = 8,637.88/x
  3. Step 3: Cross multiply
    9,512.68x = 13,097.68 × 8,637.88
  4. Step 4: Simplify right side
    9,512.68x = 113,136,188.12
  5. Step 5: Solve for x
    x = 113,136,188.12/9,512.68
  6. Step 6: Final answer
    x = 11,893.20

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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.