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Finding the Fourth Proportional to 7,090.61, 9,785.03 and 4,106.61

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Solution

The fourth proportional to 7,090.61, 9,785.03 and 4,106.61 is: 5,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.61 : 9,785.03 = 4,106.61 : x
  2. Step 2: Convert to fraction form
    7,090.61/9,785.03 = 4,106.61/x
  3. Step 3: Cross multiply
    7,090.61x = 9,785.03 × 4,106.61
  4. Step 4: Simplify right side
    7,090.61x = 40,183,281.52
  5. Step 5: Solve for x
    x = 40,183,281.52/7,090.61
  6. Step 6: Final answer
    x = 5,667.12

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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.