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Finding the Fourth Proportional to 7,743, 10,678.10 and 5,971.80

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Solution

The fourth proportional to 7,743, 10,678.10 and 5,971.80 is: 8,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743 : 10,678.10 = 5,971.80 : x
  2. Step 2: Convert to fraction form
    7,743/10,678.10 = 5,971.80/x
  3. Step 3: Cross multiply
    7,743x = 10,678.10 × 5,971.80
  4. Step 4: Simplify right side
    7,743x = 63,767,477.58
  5. Step 5: Solve for x
    x = 63,767,477.58/7,743
  6. Step 6: Final answer
    x = 8,235.50

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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.