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Finding the Fourth Proportional to 2,302.02, 3,453.01 and 1,525.50

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Solution

The fourth proportional to 2,302.02, 3,453.01 and 1,525.50 is: 2,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.02 : 3,453.01 = 1,525.50 : x
  2. Step 2: Convert to fraction form
    2,302.02/3,453.01 = 1,525.50/x
  3. Step 3: Cross multiply
    2,302.02x = 3,453.01 × 1,525.50
  4. Step 4: Simplify right side
    2,302.02x = 5,267,566.76
  5. Step 5: Solve for x
    x = 5,267,566.76/2,302.02
  6. Step 6: Final answer
    x = 2,288.24

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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.