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Finding the Fourth Proportional to 2,551.52, 3,521.64 and 1,503.80

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Solution

The fourth proportional to 2,551.52, 3,521.64 and 1,503.80 is: 2,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.52 : 3,521.64 = 1,503.80 : x
  2. Step 2: Convert to fraction form
    2,551.52/3,521.64 = 1,503.80/x
  3. Step 3: Cross multiply
    2,551.52x = 3,521.64 × 1,503.80
  4. Step 4: Simplify right side
    2,551.52x = 5,295,842.23
  5. Step 5: Solve for x
    x = 5,295,842.23/2,551.52
  6. Step 6: Final answer
    x = 2,075.56

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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.