Home / 1,581.50-2,369.28-1,462.16

Finding the Fourth Proportional to 1,581.50, 2,369.28 and 1,462.16

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Solution

The fourth proportional to 1,581.50, 2,369.28 and 1,462.16 is: 2,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.50 : 2,369.28 = 1,462.16 : x
  2. Step 2: Convert to fraction form
    1,581.50/2,369.28 = 1,462.16/x
  3. Step 3: Cross multiply
    1,581.50x = 2,369.28 × 1,462.16
  4. Step 4: Simplify right side
    1,581.50x = 3,464,266.44
  5. Step 5: Solve for x
    x = 3,464,266.44/1,581.50
  6. Step 6: Final answer
    x = 2,190.49

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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.