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Finding the Fourth Proportional to 11,474.88, 15,830.58 and 7,648.26

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Solution

The fourth proportional to 11,474.88, 15,830.58 and 7,648.26 is: 10,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.88 : 15,830.58 = 7,648.26 : x
  2. Step 2: Convert to fraction form
    11,474.88/15,830.58 = 7,648.26/x
  3. Step 3: Cross multiply
    11,474.88x = 15,830.58 × 7,648.26
  4. Step 4: Simplify right side
    11,474.88x = 121,076,391.79
  5. Step 5: Solve for x
    x = 121,076,391.79/11,474.88
  6. Step 6: Final answer
    x = 10,551.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.