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Finding the Fourth Proportional to 8,196.45, 12,276.45 and 6,341.55

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Solution

The fourth proportional to 8,196.45, 12,276.45 and 6,341.55 is: 9,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.45 : 12,276.45 = 6,341.55 : x
  2. Step 2: Convert to fraction form
    8,196.45/12,276.45 = 6,341.55/x
  3. Step 3: Cross multiply
    8,196.45x = 12,276.45 × 6,341.55
  4. Step 4: Simplify right side
    8,196.45x = 77,851,721.50
  5. Step 5: Solve for x
    x = 77,851,721.50/8,196.45
  6. Step 6: Final answer
    x = 9,498.22

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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.