Home / 7,090-9,784.20-3,946.80

Finding the Fourth Proportional to 7,090, 9,784.20 and 3,946.80

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Solution

The fourth proportional to 7,090, 9,784.20 and 3,946.80 is: 5,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090 : 9,784.20 = 3,946.80 : x
  2. Step 2: Convert to fraction form
    7,090/9,784.20 = 3,946.80/x
  3. Step 3: Cross multiply
    7,090x = 9,784.20 × 3,946.80
  4. Step 4: Simplify right side
    7,090x = 38,616,231.64
  5. Step 5: Solve for x
    x = 38,616,231.64/7,090
  6. Step 6: Final answer
    x = 5,446.58

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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.