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Finding the Fourth Proportional to 10,991, 15,167.12 and 6,453.06

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Solution

The fourth proportional to 10,991, 15,167.12 and 6,453.06 is: 8,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991 : 15,167.12 = 6,453.06 : x
  2. Step 2: Convert to fraction form
    10,991/15,167.12 = 6,453.06/x
  3. Step 3: Cross multiply
    10,991x = 15,167.12 × 6,453.06
  4. Step 4: Simplify right side
    10,991x = 97,874,335.39
  5. Step 5: Solve for x
    x = 97,874,335.39/10,991
  6. Step 6: Final answer
    x = 8,904.95

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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.