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Finding the Fourth Proportional to 12,664.32, 17,465.08 and 7,878.12

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Solution

The fourth proportional to 12,664.32, 17,465.08 and 7,878.12 is: 10,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.32 : 17,465.08 = 7,878.12 : x
  2. Step 2: Convert to fraction form
    12,664.32/17,465.08 = 7,878.12/x
  3. Step 3: Cross multiply
    12,664.32x = 17,465.08 × 7,878.12
  4. Step 4: Simplify right side
    12,664.32x = 137,591,996.05
  5. Step 5: Solve for x
    x = 137,591,996.05/12,664.32
  6. Step 6: Final answer
    x = 10,864.54

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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.