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Finding the Fourth Proportional to 5,609.86, 8,417.21 and 3,009.76

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Solution

The fourth proportional to 5,609.86, 8,417.21 and 3,009.76 is: 4,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.86 : 8,417.21 = 3,009.76 : x
  2. Step 2: Convert to fraction form
    5,609.86/8,417.21 = 3,009.76/x
  3. Step 3: Cross multiply
    5,609.86x = 8,417.21 × 3,009.76
  4. Step 4: Simplify right side
    5,609.86x = 25,333,768.45
  5. Step 5: Solve for x
    x = 25,333,768.45/5,609.86
  6. Step 6: Final answer
    x = 4,515.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.