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Finding the Fourth Proportional to 8,036.32, 12,048 and 7,578.40

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Solution

The fourth proportional to 8,036.32, 12,048 and 7,578.40 is: 11,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.32 : 12,048 = 7,578.40 : x
  2. Step 2: Convert to fraction form
    8,036.32/12,048 = 7,578.40/x
  3. Step 3: Cross multiply
    8,036.32x = 12,048 × 7,578.40
  4. Step 4: Simplify right side
    8,036.32x = 91,304,563.20
  5. Step 5: Solve for x
    x = 91,304,563.20/8,036.32
  6. Step 6: Final answer
    x = 11,361.49

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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.