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Finding the Fourth Proportional to 12,846.15, 17,725.62 and 7,807.68

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Solution

The fourth proportional to 12,846.15, 17,725.62 and 7,807.68 is: 10,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.15 : 17,725.62 = 7,807.68 : x
  2. Step 2: Convert to fraction form
    12,846.15/17,725.62 = 7,807.68/x
  3. Step 3: Cross multiply
    12,846.15x = 17,725.62 × 7,807.68
  4. Step 4: Simplify right side
    12,846.15x = 138,395,968.76
  5. Step 5: Solve for x
    x = 138,395,968.76/12,846.15
  6. Step 6: Final answer
    x = 10,773.34

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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.