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Finding the Fourth Proportional to 9,405.70, 14,112.60 and 4,788.70

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Solution

The fourth proportional to 9,405.70, 14,112.60 and 4,788.70 is: 7,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.70 : 14,112.60 = 4,788.70 : x
  2. Step 2: Convert to fraction form
    9,405.70/14,112.60 = 4,788.70/x
  3. Step 3: Cross multiply
    9,405.70x = 14,112.60 × 4,788.70
  4. Step 4: Simplify right side
    9,405.70x = 67,581,007.62
  5. Step 5: Solve for x
    x = 67,581,007.62/9,405.70
  6. Step 6: Final answer
    x = 7,185.11

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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.