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Finding the Fourth Proportional to 5,718.07, 7,890.88 and 3,200.41

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Solution

The fourth proportional to 5,718.07, 7,890.88 and 3,200.41 is: 4,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.07 : 7,890.88 = 3,200.41 : x
  2. Step 2: Convert to fraction form
    5,718.07/7,890.88 = 3,200.41/x
  3. Step 3: Cross multiply
    5,718.07x = 7,890.88 × 3,200.41
  4. Step 4: Simplify right side
    5,718.07x = 25,254,061.27
  5. Step 5: Solve for x
    x = 25,254,061.27/5,718.07
  6. Step 6: Final answer
    x = 4,416.54

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1.5x scale

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.