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Finding the Fourth Proportional to 9,806.25, 14,709.38 and 2,880.75

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Solution

The fourth proportional to 9,806.25, 14,709.38 and 2,880.75 is: 4,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.25 : 14,709.38 = 2,880.75 : x
  2. Step 2: Convert to fraction form
    9,806.25/14,709.38 = 2,880.75/x
  3. Step 3: Cross multiply
    9,806.25x = 14,709.38 × 2,880.75
  4. Step 4: Simplify right side
    9,806.25x = 42,374,032.03
  5. Step 5: Solve for x
    x = 42,374,032.03/9,806.25
  6. Step 6: Final answer
    x = 4,321.13

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1.5x scale

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.