Home / 47,771.64-65,943-31,850.28

Finding the Fourth Proportional to 47,771.64, 65,943 and 31,850.28

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Solution

The fourth proportional to 47,771.64, 65,943 and 31,850.28 is: 43,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,771.64 : 65,943 = 31,850.28 : x
  2. Step 2: Convert to fraction form
    47,771.64/65,943 = 31,850.28/x
  3. Step 3: Cross multiply
    47,771.64x = 65,943 × 31,850.28
  4. Step 4: Simplify right side
    47,771.64x = 2,100,303,014.04
  5. Step 5: Solve for x
    x = 2,100,303,014.04/47,771.64
  6. Step 6: Final answer
    x = 43,965.48

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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.