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Finding the Fourth Proportional to 8,102.40, 12,146.40 and 2,907.06

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Solution

The fourth proportional to 8,102.40, 12,146.40 and 2,907.06 is: 4,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.40 : 12,146.40 = 2,907.06 : x
  2. Step 2: Convert to fraction form
    8,102.40/12,146.40 = 2,907.06/x
  3. Step 3: Cross multiply
    8,102.40x = 12,146.40 × 2,907.06
  4. Step 4: Simplify right side
    8,102.40x = 35,310,313.58
  5. Step 5: Solve for x
    x = 35,310,313.58/8,102.40
  6. Step 6: Final answer
    x = 4,358.01

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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.