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Finding the Fourth Proportional to 5,603.09, 8,405.87 and 1,707.80

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Solution

The fourth proportional to 5,603.09, 8,405.87 and 1,707.80 is: 2,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.09 : 8,405.87 = 1,707.80 : x
  2. Step 2: Convert to fraction form
    5,603.09/8,405.87 = 1,707.80/x
  3. Step 3: Cross multiply
    5,603.09x = 8,405.87 × 1,707.80
  4. Step 4: Simplify right side
    5,603.09x = 14,355,494.22
  5. Step 5: Solve for x
    x = 14,355,494.22/5,603.09
  6. Step 6: Final answer
    x = 2,562.07

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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.