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Finding the Fourth Proportional to 9,618.23, 14,400.78 and 4,928.14

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Solution

The fourth proportional to 9,618.23, 14,400.78 and 4,928.14 is: 7,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.23 : 14,400.78 = 4,928.14 : x
  2. Step 2: Convert to fraction form
    9,618.23/14,400.78 = 4,928.14/x
  3. Step 3: Cross multiply
    9,618.23x = 14,400.78 × 4,928.14
  4. Step 4: Simplify right side
    9,618.23x = 70,969,059.47
  5. Step 5: Solve for x
    x = 70,969,059.47/9,618.23
  6. Step 6: Final answer
    x = 7,378.60

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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.