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Finding the Fourth Proportional to 11,461, 17,187.90 and 4,440.53

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Solution

The fourth proportional to 11,461, 17,187.90 and 4,440.53 is: 6,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461 : 17,187.90 = 4,440.53 : x
  2. Step 2: Convert to fraction form
    11,461/17,187.90 = 4,440.53/x
  3. Step 3: Cross multiply
    11,461x = 17,187.90 × 4,440.53
  4. Step 4: Simplify right side
    11,461x = 76,323,385.59
  5. Step 5: Solve for x
    x = 76,323,385.59/11,461
  6. Step 6: Final answer
    x = 6,659.40

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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.