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Finding the Fourth Proportional to 47,118, 65,018.78 and 27,734.86

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Solution

The fourth proportional to 47,118, 65,018.78 and 27,734.86 is: 38,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,118 : 65,018.78 = 27,734.86 : x
  2. Step 2: Convert to fraction form
    47,118/65,018.78 = 27,734.86/x
  3. Step 3: Cross multiply
    47,118x = 65,018.78 × 27,734.86
  4. Step 4: Simplify right side
    47,118x = 1,803,286,760.67
  5. Step 5: Solve for x
    x = 1,803,286,760.67/47,118
  6. Step 6: Final answer
    x = 38,271.72

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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.