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Finding the Fourth Proportional to 9,668.97, 13,345.16 and 5,478.03

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Solution

The fourth proportional to 9,668.97, 13,345.16 and 5,478.03 is: 7,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.97 : 13,345.16 = 5,478.03 : x
  2. Step 2: Convert to fraction form
    9,668.97/13,345.16 = 5,478.03/x
  3. Step 3: Cross multiply
    9,668.97x = 13,345.16 × 5,478.03
  4. Step 4: Simplify right side
    9,668.97x = 73,105,159.44
  5. Step 5: Solve for x
    x = 73,105,159.44/9,668.97
  6. Step 6: Final answer
    x = 7,560.80

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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.