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Finding the Fourth Proportional to 12,457.64, 18,680.78 and 7,770.44

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Solution

The fourth proportional to 12,457.64, 18,680.78 and 7,770.44 is: 11,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.64 : 18,680.78 = 7,770.44 : x
  2. Step 2: Convert to fraction form
    12,457.64/18,680.78 = 7,770.44/x
  3. Step 3: Cross multiply
    12,457.64x = 18,680.78 × 7,770.44
  4. Step 4: Simplify right side
    12,457.64x = 145,157,880.14
  5. Step 5: Solve for x
    x = 145,157,880.14/12,457.64
  6. Step 6: Final answer
    x = 11,652.12

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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.