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Finding the Fourth Proportional to 7,878.53, 11,817.92 and 1,955.45

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Solution

The fourth proportional to 7,878.53, 11,817.92 and 1,955.45 is: 2,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.53 : 11,817.92 = 1,955.45 : x
  2. Step 2: Convert to fraction form
    7,878.53/11,817.92 = 1,955.45/x
  3. Step 3: Cross multiply
    7,878.53x = 11,817.92 × 1,955.45
  4. Step 4: Simplify right side
    7,878.53x = 23,109,282.80
  5. Step 5: Solve for x
    x = 23,109,282.80/7,878.53
  6. Step 6: Final answer
    x = 2,933.20

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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.