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Finding the Fourth Proportional to 7,970.40, 11,954 and 7,575.24

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Solution

The fourth proportional to 7,970.40, 11,954 and 7,575.24 is: 11,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.40 : 11,954 = 7,575.24 : x
  2. Step 2: Convert to fraction form
    7,970.40/11,954 = 7,575.24/x
  3. Step 3: Cross multiply
    7,970.40x = 11,954 × 7,575.24
  4. Step 4: Simplify right side
    7,970.40x = 90,554,418.96
  5. Step 5: Solve for x
    x = 90,554,418.96/7,970.40
  6. Step 6: Final answer
    x = 11,361.34

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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.