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Finding the Fourth Proportional to 47,818, 65,988.84 and 27,946

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Solution

The fourth proportional to 47,818, 65,988.84 and 27,946 is: 38,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,818 : 65,988.84 = 27,946 : x
  2. Step 2: Convert to fraction form
    47,818/65,988.84 = 27,946/x
  3. Step 3: Cross multiply
    47,818x = 65,988.84 × 27,946
  4. Step 4: Simplify right side
    47,818x = 1,844,124,122.64
  5. Step 5: Solve for x
    x = 1,844,124,122.64/47,818
  6. Step 6: Final answer
    x = 38,565.48

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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.