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Finding the Fourth Proportional to 2,520.50, 3,478.12 and 1,526.33

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Solution

The fourth proportional to 2,520.50, 3,478.12 and 1,526.33 is: 2,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.50 : 3,478.12 = 1,526.33 : x
  2. Step 2: Convert to fraction form
    2,520.50/3,478.12 = 1,526.33/x
  3. Step 3: Cross multiply
    2,520.50x = 3,478.12 × 1,526.33
  4. Step 4: Simplify right side
    2,520.50x = 5,308,758.90
  5. Step 5: Solve for x
    x = 5,308,758.90/2,520.50
  6. Step 6: Final answer
    x = 2,106.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.