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Finding the Fourth Proportional to 9,403.70, 14,109.60 and 4,786.70

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Solution

The fourth proportional to 9,403.70, 14,109.60 and 4,786.70 is: 7,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.70 : 14,109.60 = 4,786.70 : x
  2. Step 2: Convert to fraction form
    9,403.70/14,109.60 = 4,786.70/x
  3. Step 3: Cross multiply
    9,403.70x = 14,109.60 × 4,786.70
  4. Step 4: Simplify right side
    9,403.70x = 67,538,422.32
  5. Step 5: Solve for x
    x = 67,538,422.32/9,403.70
  6. Step 6: Final answer
    x = 7,182.11

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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.