Home / 2,042.14-3,064.58-1,312.23

Finding the Fourth Proportional to 2,042.14, 3,064.58 and 1,312.23

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Solution

The fourth proportional to 2,042.14, 3,064.58 and 1,312.23 is: 1,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.14 : 3,064.58 = 1,312.23 : x
  2. Step 2: Convert to fraction form
    2,042.14/3,064.58 = 1,312.23/x
  3. Step 3: Cross multiply
    2,042.14x = 3,064.58 × 1,312.23
  4. Step 4: Simplify right side
    2,042.14x = 4,021,433.81
  5. Step 5: Solve for x
    x = 4,021,433.81/2,042.14
  6. Step 6: Final answer
    x = 1,969.23

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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.