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Finding the Fourth Proportional to 47,565, 65,639.70 and 27,693

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Solution

The fourth proportional to 47,565, 65,639.70 and 27,693 is: 38,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,565 : 65,639.70 = 27,693 : x
  2. Step 2: Convert to fraction form
    47,565/65,639.70 = 27,693/x
  3. Step 3: Cross multiply
    47,565x = 65,639.70 × 27,693
  4. Step 4: Simplify right side
    47,565x = 1,817,760,212.10
  5. Step 5: Solve for x
    x = 1,817,760,212.10/47,565
  6. Step 6: Final answer
    x = 38,216.34

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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.