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Finding the Fourth Proportional to 15,813.90, 23,728.54 and 7,484

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Solution

The fourth proportional to 15,813.90, 23,728.54 and 7,484 is: 11,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.90 : 23,728.54 = 7,484 : x
  2. Step 2: Convert to fraction form
    15,813.90/23,728.54 = 7,484/x
  3. Step 3: Cross multiply
    15,813.90x = 23,728.54 × 7,484
  4. Step 4: Simplify right side
    15,813.90x = 177,584,393.36
  5. Step 5: Solve for x
    x = 177,584,393.36/15,813.90
  6. Step 6: Final answer
    x = 11,229.64

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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.