Home / 1,523.12-2,101.08-962.56

Finding the Fourth Proportional to 1,523.12, 2,101.08 and 962.56

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Solution

The fourth proportional to 1,523.12, 2,101.08 and 962.56 is: 1,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.12 : 2,101.08 = 962.56 : x
  2. Step 2: Convert to fraction form
    1,523.12/2,101.08 = 962.56/x
  3. Step 3: Cross multiply
    1,523.12x = 2,101.08 × 962.56
  4. Step 4: Simplify right side
    1,523.12x = 2,022,415.56
  5. Step 5: Solve for x
    x = 2,022,415.56/1,523.12
  6. Step 6: Final answer
    x = 1,327.81

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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.