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Finding the Fourth Proportional to 8,411.40, 12,564.09 and 8,178.12

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Solution

The fourth proportional to 8,411.40, 12,564.09 and 8,178.12 is: 12,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.40 : 12,564.09 = 8,178.12 : x
  2. Step 2: Convert to fraction form
    8,411.40/12,564.09 = 8,178.12/x
  3. Step 3: Cross multiply
    8,411.40x = 12,564.09 × 8,178.12
  4. Step 4: Simplify right side
    8,411.40x = 102,750,635.71
  5. Step 5: Solve for x
    x = 102,750,635.71/8,411.40
  6. Step 6: Final answer
    x = 12,215.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.