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Finding the Fourth Proportional to 12,652.56, 18,990.30 and 6,416.90

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Solution

The fourth proportional to 12,652.56, 18,990.30 and 6,416.90 is: 9,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.56 : 18,990.30 = 6,416.90 : x
  2. Step 2: Convert to fraction form
    12,652.56/18,990.30 = 6,416.90/x
  3. Step 3: Cross multiply
    12,652.56x = 18,990.30 × 6,416.90
  4. Step 4: Simplify right side
    12,652.56x = 121,858,856.07
  5. Step 5: Solve for x
    x = 121,858,856.07/12,652.56
  6. Step 6: Final answer
    x = 9,631.16

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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.