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Finding the Fourth Proportional to 31,716.16, 47,785.24 and 28,716.16

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Solution

The fourth proportional to 31,716.16, 47,785.24 and 28,716.16 is: 43,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716.16 : 47,785.24 = 28,716.16 : x
  2. Step 2: Convert to fraction form
    31,716.16/47,785.24 = 28,716.16/x
  3. Step 3: Cross multiply
    31,716.16x = 47,785.24 × 28,716.16
  4. Step 4: Simplify right side
    31,716.16x = 1,372,208,597.48
  5. Step 5: Solve for x
    x = 1,372,208,597.48/31,716.16
  6. Step 6: Final answer
    x = 43,265.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.