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Finding the Fourth Proportional to 9,208.64, 13,880.96 and 8,673.60

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Solution

The fourth proportional to 9,208.64, 13,880.96 and 8,673.60 is: 13,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.64 : 13,880.96 = 8,673.60 : x
  2. Step 2: Convert to fraction form
    9,208.64/13,880.96 = 8,673.60/x
  3. Step 3: Cross multiply
    9,208.64x = 13,880.96 × 8,673.60
  4. Step 4: Simplify right side
    9,208.64x = 120,397,894.66
  5. Step 5: Solve for x
    x = 120,397,894.66/9,208.64
  6. Step 6: Final answer
    x = 13,074.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.