Home / 1,645.64-2,271.90-1,142.24

Finding the Fourth Proportional to 1,645.64, 2,271.90 and 1,142.24

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Solution

The fourth proportional to 1,645.64, 2,271.90 and 1,142.24 is: 1,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.64 : 2,271.90 = 1,142.24 : x
  2. Step 2: Convert to fraction form
    1,645.64/2,271.90 = 1,142.24/x
  3. Step 3: Cross multiply
    1,645.64x = 2,271.90 × 1,142.24
  4. Step 4: Simplify right side
    1,645.64x = 2,595,055.06
  5. Step 5: Solve for x
    x = 2,595,055.06/1,645.64
  6. Step 6: Final answer
    x = 1,576.93

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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.