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Finding the Fourth Proportional to 12,598.66, 18,905.31 and 6,976.90

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Solution

The fourth proportional to 12,598.66, 18,905.31 and 6,976.90 is: 10,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.66 : 18,905.31 = 6,976.90 : x
  2. Step 2: Convert to fraction form
    12,598.66/18,905.31 = 6,976.90/x
  3. Step 3: Cross multiply
    12,598.66x = 18,905.31 × 6,976.90
  4. Step 4: Simplify right side
    12,598.66x = 131,900,457.34
  5. Step 5: Solve for x
    x = 131,900,457.34/12,598.66
  6. Step 6: Final answer
    x = 10,469.40

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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.