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Finding the Fourth Proportional to 7,977.48, 11,955.02 and 6,801.40

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Solution

The fourth proportional to 7,977.48, 11,955.02 and 6,801.40 is: 10,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.48 : 11,955.02 = 6,801.40 : x
  2. Step 2: Convert to fraction form
    7,977.48/11,955.02 = 6,801.40/x
  3. Step 3: Cross multiply
    7,977.48x = 11,955.02 × 6,801.40
  4. Step 4: Simplify right side
    7,977.48x = 81,310,873.03
  5. Step 5: Solve for x
    x = 81,310,873.03/7,977.48
  6. Step 6: Final answer
    x = 10,192.55

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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.