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Finding the Fourth Proportional to 8,145.76, 12,219.64 and 2,597.16

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Solution

The fourth proportional to 8,145.76, 12,219.64 and 2,597.16 is: 3,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.76 : 12,219.64 = 2,597.16 : x
  2. Step 2: Convert to fraction form
    8,145.76/12,219.64 = 2,597.16/x
  3. Step 3: Cross multiply
    8,145.76x = 12,219.64 × 2,597.16
  4. Step 4: Simplify right side
    8,145.76x = 31,736,360.22
  5. Step 5: Solve for x
    x = 31,736,360.22/8,145.76
  6. Step 6: Final answer
    x = 3,896.06

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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.