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Finding the Fourth Proportional to 7,009.98, 9,668.78 and 6,778.29

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Solution

The fourth proportional to 7,009.98, 9,668.78 and 6,778.29 is: 9,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.98 : 9,668.78 = 6,778.29 : x
  2. Step 2: Convert to fraction form
    7,009.98/9,668.78 = 6,778.29/x
  3. Step 3: Cross multiply
    7,009.98x = 9,668.78 × 6,778.29
  4. Step 4: Simplify right side
    7,009.98x = 65,537,789.91
  5. Step 5: Solve for x
    x = 65,537,789.91/7,009.98
  6. Step 6: Final answer
    x = 9,349.22

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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.