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Finding the Fourth Proportional to 8,271.44, 12,405.24 and 2,426.48

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Solution

The fourth proportional to 8,271.44, 12,405.24 and 2,426.48 is: 3,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.44 : 12,405.24 = 2,426.48 : x
  2. Step 2: Convert to fraction form
    8,271.44/12,405.24 = 2,426.48/x
  3. Step 3: Cross multiply
    8,271.44x = 12,405.24 × 2,426.48
  4. Step 4: Simplify right side
    8,271.44x = 30,101,066.76
  5. Step 5: Solve for x
    x = 30,101,066.76/8,271.44
  6. Step 6: Final answer
    x = 3,639.16

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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.