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Finding the Fourth Proportional to 3,552.76, 5,328.76 and 1,578.42

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Solution

The fourth proportional to 3,552.76, 5,328.76 and 1,578.42 is: 2,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.76 : 5,328.76 = 1,578.42 : x
  2. Step 2: Convert to fraction form
    3,552.76/5,328.76 = 1,578.42/x
  3. Step 3: Cross multiply
    3,552.76x = 5,328.76 × 1,578.42
  4. Step 4: Simplify right side
    3,552.76x = 8,411,021.36
  5. Step 5: Solve for x
    x = 8,411,021.36/3,552.76
  6. Step 6: Final answer
    x = 2,367.46

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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.