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Finding the Fourth Proportional to 11,748.60, 16,212.60 and 6,443.10

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Solution

The fourth proportional to 11,748.60, 16,212.60 and 6,443.10 is: 8,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.60 : 16,212.60 = 6,443.10 : x
  2. Step 2: Convert to fraction form
    11,748.60/16,212.60 = 6,443.10/x
  3. Step 3: Cross multiply
    11,748.60x = 16,212.60 × 6,443.10
  4. Step 4: Simplify right side
    11,748.60x = 104,459,403.06
  5. Step 5: Solve for x
    x = 104,459,403.06/11,748.60
  6. Step 6: Final answer
    x = 8,891.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.