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Finding the Fourth Proportional to 8,656.40, 12,984.91 and 2,813.06

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Solution

The fourth proportional to 8,656.40, 12,984.91 and 2,813.06 is: 4,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.40 : 12,984.91 = 2,813.06 : x
  2. Step 2: Convert to fraction form
    8,656.40/12,984.91 = 2,813.06/x
  3. Step 3: Cross multiply
    8,656.40x = 12,984.91 × 2,813.06
  4. Step 4: Simplify right side
    8,656.40x = 36,527,356.35
  5. Step 5: Solve for x
    x = 36,527,356.35/8,656.40
  6. Step 6: Final answer
    x = 4,219.69

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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.