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Finding the Fourth Proportional to 31,464.64, 47,182.38 and 11,728.99

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Solution

The fourth proportional to 31,464.64, 47,182.38 and 11,728.99 is: 17,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464.64 : 47,182.38 = 11,728.99 : x
  2. Step 2: Convert to fraction form
    31,464.64/47,182.38 = 11,728.99/x
  3. Step 3: Cross multiply
    31,464.64x = 47,182.38 × 11,728.99
  4. Step 4: Simplify right side
    31,464.64x = 553,401,663.20
  5. Step 5: Solve for x
    x = 553,401,663.20/31,464.64
  6. Step 6: Final answer
    x = 17,588.05

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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.