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Finding the Fourth Proportional to 11,160, 16,742.70 and 3,368.88

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Solution

The fourth proportional to 11,160, 16,742.70 and 3,368.88 is: 5,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,160 : 16,742.70 = 3,368.88 : x
  2. Step 2: Convert to fraction form
    11,160/16,742.70 = 3,368.88/x
  3. Step 3: Cross multiply
    11,160x = 16,742.70 × 3,368.88
  4. Step 4: Simplify right side
    11,160x = 56,404,147.18
  5. Step 5: Solve for x
    x = 56,404,147.18/11,160
  6. Step 6: Final answer
    x = 5,054.14

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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.