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Finding the Fourth Proportional to 7,970.40, 11,954.01 and 7,575.22

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Solution

The fourth proportional to 7,970.40, 11,954.01 and 7,575.22 is: 11,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.40 : 11,954.01 = 7,575.22 : x
  2. Step 2: Convert to fraction form
    7,970.40/11,954.01 = 7,575.22/x
  3. Step 3: Cross multiply
    7,970.40x = 11,954.01 × 7,575.22
  4. Step 4: Simplify right side
    7,970.40x = 90,554,255.63
  5. Step 5: Solve for x
    x = 90,554,255.63/7,970.40
  6. Step 6: Final answer
    x = 11,361.32

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1.5x scale

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.