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Finding the Fourth Proportional to 6,769, 9,342.30 and 3,973.96

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Solution

The fourth proportional to 6,769, 9,342.30 and 3,973.96 is: 5,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769 : 9,342.30 = 3,973.96 : x
  2. Step 2: Convert to fraction form
    6,769/9,342.30 = 3,973.96/x
  3. Step 3: Cross multiply
    6,769x = 9,342.30 × 3,973.96
  4. Step 4: Simplify right side
    6,769x = 37,125,926.51
  5. Step 5: Solve for x
    x = 37,125,926.51/6,769
  6. Step 6: Final answer
    x = 5,484.70

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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.