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Finding the Fourth Proportional to 9,662.39, 13,333.72 and 5,470.64

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Solution

The fourth proportional to 9,662.39, 13,333.72 and 5,470.64 is: 7,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.39 : 13,333.72 = 5,470.64 : x
  2. Step 2: Convert to fraction form
    9,662.39/13,333.72 = 5,470.64/x
  3. Step 3: Cross multiply
    9,662.39x = 13,333.72 × 5,470.64
  4. Step 4: Simplify right side
    9,662.39x = 72,943,954.63
  5. Step 5: Solve for x
    x = 72,943,954.63/9,662.39
  6. Step 6: Final answer
    x = 7,549.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.