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Finding the Fourth Proportional to 3,526.98, 5,291.49 and 1,578.72

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Solution

The fourth proportional to 3,526.98, 5,291.49 and 1,578.72 is: 2,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.98 : 5,291.49 = 1,578.72 : x
  2. Step 2: Convert to fraction form
    3,526.98/5,291.49 = 1,578.72/x
  3. Step 3: Cross multiply
    3,526.98x = 5,291.49 × 1,578.72
  4. Step 4: Simplify right side
    3,526.98x = 8,353,806.86
  5. Step 5: Solve for x
    x = 8,353,806.86/3,526.98
  6. Step 6: Final answer
    x = 2,368.55

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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.