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Finding the Fourth Proportional to 8,143.84, 12,215.64 and 2,300.32

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Solution

The fourth proportional to 8,143.84, 12,215.64 and 2,300.32 is: 3,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.84 : 12,215.64 = 2,300.32 : x
  2. Step 2: Convert to fraction form
    8,143.84/12,215.64 = 2,300.32/x
  3. Step 3: Cross multiply
    8,143.84x = 12,215.64 × 2,300.32
  4. Step 4: Simplify right side
    8,143.84x = 28,099,881.00
  5. Step 5: Solve for x
    x = 28,099,881.00/8,143.84
  6. Step 6: Final answer
    x = 3,450.45

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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.