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Finding the Fourth Proportional to 7,880.19, 11,805.53 and 7,068.75

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Solution

The fourth proportional to 7,880.19, 11,805.53 and 7,068.75 is: 10,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.19 : 11,805.53 = 7,068.75 : x
  2. Step 2: Convert to fraction form
    7,880.19/11,805.53 = 7,068.75/x
  3. Step 3: Cross multiply
    7,880.19x = 11,805.53 × 7,068.75
  4. Step 4: Simplify right side
    7,880.19x = 83,450,304.84
  5. Step 5: Solve for x
    x = 83,450,304.84/7,880.19
  6. Step 6: Final answer
    x = 10,589.88

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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.