Home / 1,525.16-2,102.64-965.35

Finding the Fourth Proportional to 1,525.16, 2,102.64 and 965.35

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Solution

The fourth proportional to 1,525.16, 2,102.64 and 965.35 is: 1,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.16 : 2,102.64 = 965.35 : x
  2. Step 2: Convert to fraction form
    1,525.16/2,102.64 = 965.35/x
  3. Step 3: Cross multiply
    1,525.16x = 2,102.64 × 965.35
  4. Step 4: Simplify right side
    1,525.16x = 2,029,783.52
  5. Step 5: Solve for x
    x = 2,029,783.52/1,525.16
  6. Step 6: Final answer
    x = 1,330.87

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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.