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Finding the Fourth Proportional to 5,718.26, 7,890.56 and 3,200.02

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Solution

The fourth proportional to 5,718.26, 7,890.56 and 3,200.02 is: 4,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.26 : 7,890.56 = 3,200.02 : x
  2. Step 2: Convert to fraction form
    5,718.26/7,890.56 = 3,200.02/x
  3. Step 3: Cross multiply
    5,718.26x = 7,890.56 × 3,200.02
  4. Step 4: Simplify right side
    5,718.26x = 25,249,988.47
  5. Step 5: Solve for x
    x = 25,249,988.47/5,718.26
  6. Step 6: Final answer
    x = 4,415.67

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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.