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Finding the Fourth Proportional to 5,226.65, 7,835.86 and 3,578.20

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Solution

The fourth proportional to 5,226.65, 7,835.86 and 3,578.20 is: 5,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.65 : 7,835.86 = 3,578.20 : x
  2. Step 2: Convert to fraction form
    5,226.65/7,835.86 = 3,578.20/x
  3. Step 3: Cross multiply
    5,226.65x = 7,835.86 × 3,578.20
  4. Step 4: Simplify right side
    5,226.65x = 28,038,274.25
  5. Step 5: Solve for x
    x = 28,038,274.25/5,226.65
  6. Step 6: Final answer
    x = 5,364.48

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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.