Home / 1,525.12-2,103.84-964.54

Finding the Fourth Proportional to 1,525.12, 2,103.84 and 964.54

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Solution

The fourth proportional to 1,525.12, 2,103.84 and 964.54 is: 1,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.12 : 2,103.84 = 964.54 : x
  2. Step 2: Convert to fraction form
    1,525.12/2,103.84 = 964.54/x
  3. Step 3: Cross multiply
    1,525.12x = 2,103.84 × 964.54
  4. Step 4: Simplify right side
    1,525.12x = 2,029,237.83
  5. Step 5: Solve for x
    x = 2,029,237.83/1,525.12
  6. Step 6: Final answer
    x = 1,330.54

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1.5x scale

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.