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Finding the Fourth Proportional to 15,881.64, 23,824.73 and 5,205.71

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Solution

The fourth proportional to 15,881.64, 23,824.73 and 5,205.71 is: 7,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.64 : 23,824.73 = 5,205.71 : x
  2. Step 2: Convert to fraction form
    15,881.64/23,824.73 = 5,205.71/x
  3. Step 3: Cross multiply
    15,881.64x = 23,824.73 × 5,205.71
  4. Step 4: Simplify right side
    15,881.64x = 124,024,635.21
  5. Step 5: Solve for x
    x = 124,024,635.21/15,881.64
  6. Step 6: Final answer
    x = 7,809.31

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Why These Related Problems?

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