Home / 1,427.15-2,142.08-940.52

Finding the Fourth Proportional to 1,427.15, 2,142.08 and 940.52

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Solution

The fourth proportional to 1,427.15, 2,142.08 and 940.52 is: 1,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.15 : 2,142.08 = 940.52 : x
  2. Step 2: Convert to fraction form
    1,427.15/2,142.08 = 940.52/x
  3. Step 3: Cross multiply
    1,427.15x = 2,142.08 × 940.52
  4. Step 4: Simplify right side
    1,427.15x = 2,014,669.08
  5. Step 5: Solve for x
    x = 2,014,669.08/1,427.15
  6. Step 6: Final answer
    x = 1,411.67

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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.