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Finding the Fourth Proportional to 20,163.48, 27,807 and 12,607.40

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Solution

The fourth proportional to 20,163.48, 27,807 and 12,607.40 is: 17,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.48 : 27,807 = 12,607.40 : x
  2. Step 2: Convert to fraction form
    20,163.48/27,807 = 12,607.40/x
  3. Step 3: Cross multiply
    20,163.48x = 27,807 × 12,607.40
  4. Step 4: Simplify right side
    20,163.48x = 350,573,971.80
  5. Step 5: Solve for x
    x = 350,573,971.80/20,163.48
  6. Step 6: Final answer
    x = 17,386.58

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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.