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Finding the Fourth Proportional to 31,507.64, 47,262.36 and 11,782.43

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Solution

The fourth proportional to 31,507.64, 47,262.36 and 11,782.43 is: 17,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.64 : 47,262.36 = 11,782.43 : x
  2. Step 2: Convert to fraction form
    31,507.64/47,262.36 = 11,782.43/x
  3. Step 3: Cross multiply
    31,507.64x = 47,262.36 × 11,782.43
  4. Step 4: Simplify right side
    31,507.64x = 556,865,212.02
  5. Step 5: Solve for x
    x = 556,865,212.02/31,507.64
  6. Step 6: Final answer
    x = 17,673.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.