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Finding the Fourth Proportional to 47,309, 65,286.42 and 29,437.64

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Solution

The fourth proportional to 47,309, 65,286.42 and 29,437.64 is: 40,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,309 : 65,286.42 = 29,437.64 : x
  2. Step 2: Convert to fraction form
    47,309/65,286.42 = 29,437.64/x
  3. Step 3: Cross multiply
    47,309x = 65,286.42 × 29,437.64
  4. Step 4: Simplify right side
    47,309x = 1,921,878,128.85
  5. Step 5: Solve for x
    x = 1,921,878,128.85/47,309
  6. Step 6: Final answer
    x = 40,623.94

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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.