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Finding the Fourth Proportional to 47,817, 65,987.46 and 27,945

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Solution

The fourth proportional to 47,817, 65,987.46 and 27,945 is: 38,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,817 : 65,987.46 = 27,945 : x
  2. Step 2: Convert to fraction form
    47,817/65,987.46 = 27,945/x
  3. Step 3: Cross multiply
    47,817x = 65,987.46 × 27,945
  4. Step 4: Simplify right side
    47,817x = 1,844,019,569.70
  5. Step 5: Solve for x
    x = 1,844,019,569.70/47,817
  6. Step 6: Final answer
    x = 38,564.10

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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.