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Finding the Fourth Proportional to 6,805.70, 9,393.80 and 3,973.74

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Solution

The fourth proportional to 6,805.70, 9,393.80 and 3,973.74 is: 5,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.70 : 9,393.80 = 3,973.74 : x
  2. Step 2: Convert to fraction form
    6,805.70/9,393.80 = 3,973.74/x
  3. Step 3: Cross multiply
    6,805.70x = 9,393.80 × 3,973.74
  4. Step 4: Simplify right side
    6,805.70x = 37,328,518.81
  5. Step 5: Solve for x
    x = 37,328,518.81/6,805.70
  6. Step 6: Final answer
    x = 5,484.89

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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.