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Finding the Fourth Proportional to 7,090, 9,784.20 and 4,146

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Solution

The fourth proportional to 7,090, 9,784.20 and 4,146 is: 5,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090 : 9,784.20 = 4,146 : x
  2. Step 2: Convert to fraction form
    7,090/9,784.20 = 4,146/x
  3. Step 3: Cross multiply
    7,090x = 9,784.20 × 4,146
  4. Step 4: Simplify right side
    7,090x = 40,565,293.20
  5. Step 5: Solve for x
    x = 40,565,293.20/7,090
  6. Step 6: Final answer
    x = 5,721.48

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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.