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Finding the Fourth Proportional to 6,985.92, 9,640.80 and 3,842.28

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Solution

The fourth proportional to 6,985.92, 9,640.80 and 3,842.28 is: 5,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.92 : 9,640.80 = 3,842.28 : x
  2. Step 2: Convert to fraction form
    6,985.92/9,640.80 = 3,842.28/x
  3. Step 3: Cross multiply
    6,985.92x = 9,640.80 × 3,842.28
  4. Step 4: Simplify right side
    6,985.92x = 37,042,653.02
  5. Step 5: Solve for x
    x = 37,042,653.02/6,985.92
  6. Step 6: Final answer
    x = 5,302.47

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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.