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Finding the Fourth Proportional to 8,461.76, 12,670.56 and 6,809.28

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Solution

The fourth proportional to 8,461.76, 12,670.56 and 6,809.28 is: 10,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.76 : 12,670.56 = 6,809.28 : x
  2. Step 2: Convert to fraction form
    8,461.76/12,670.56 = 6,809.28/x
  3. Step 3: Cross multiply
    8,461.76x = 12,670.56 × 6,809.28
  4. Step 4: Simplify right side
    8,461.76x = 86,277,390.80
  5. Step 5: Solve for x
    x = 86,277,390.80/8,461.76
  6. Step 6: Final answer
    x = 10,196.15

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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.