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Finding the Fourth Proportional to 7,234.63, 9,984 and 4,090.75

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Solution

The fourth proportional to 7,234.63, 9,984 and 4,090.75 is: 5,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.63 : 9,984 = 4,090.75 : x
  2. Step 2: Convert to fraction form
    7,234.63/9,984 = 4,090.75/x
  3. Step 3: Cross multiply
    7,234.63x = 9,984 × 4,090.75
  4. Step 4: Simplify right side
    7,234.63x = 40,842,048
  5. Step 5: Solve for x
    x = 40,842,048/7,234.63
  6. Step 6: Final answer
    x = 5,645.35

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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.