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Finding the Fourth Proportional to 47,580, 65,660.40 and 28,717.12

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Solution

The fourth proportional to 47,580, 65,660.40 and 28,717.12 is: 39,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,580 : 65,660.40 = 28,717.12 : x
  2. Step 2: Convert to fraction form
    47,580/65,660.40 = 28,717.12/x
  3. Step 3: Cross multiply
    47,580x = 65,660.40 × 28,717.12
  4. Step 4: Simplify right side
    47,580x = 1,885,577,586.05
  5. Step 5: Solve for x
    x = 1,885,577,586.05/47,580
  6. Step 6: Final answer
    x = 39,629.63

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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.