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Finding the Fourth Proportional to 47,580, 65,660.40 and 27,708

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Solution

The fourth proportional to 47,580, 65,660.40 and 27,708 is: 38,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,580 : 65,660.40 = 27,708 : x
  2. Step 2: Convert to fraction form
    47,580/65,660.40 = 27,708/x
  3. Step 3: Cross multiply
    47,580x = 65,660.40 × 27,708
  4. Step 4: Simplify right side
    47,580x = 1,819,318,363.20
  5. Step 5: Solve for x
    x = 1,819,318,363.20/47,580
  6. Step 6: Final answer
    x = 38,237.04

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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.