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Finding the Fourth Proportional to 5,603.65, 8,405.17 and 1,707.75

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Solution

The fourth proportional to 5,603.65, 8,405.17 and 1,707.75 is: 2,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.65 : 8,405.17 = 1,707.75 : x
  2. Step 2: Convert to fraction form
    5,603.65/8,405.17 = 1,707.75/x
  3. Step 3: Cross multiply
    5,603.65x = 8,405.17 × 1,707.75
  4. Step 4: Simplify right side
    5,603.65x = 14,353,924.80
  5. Step 5: Solve for x
    x = 14,353,924.80/5,603.65
  6. Step 6: Final answer
    x = 2,561.53

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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.