Home / 1,410.20-2,114.26-976.12

Finding the Fourth Proportional to 1,410.20, 2,114.26 and 976.12

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Solution

The fourth proportional to 1,410.20, 2,114.26 and 976.12 is: 1,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.20 : 2,114.26 = 976.12 : x
  2. Step 2: Convert to fraction form
    1,410.20/2,114.26 = 976.12/x
  3. Step 3: Cross multiply
    1,410.20x = 2,114.26 × 976.12
  4. Step 4: Simplify right side
    1,410.20x = 2,063,771.47
  5. Step 5: Solve for x
    x = 2,063,771.47/1,410.20
  6. Step 6: Final answer
    x = 1,463.46

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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.