Home / 1,420.10-2,130.36-865.23

Finding the Fourth Proportional to 1,420.10, 2,130.36 and 865.23

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Solution

The fourth proportional to 1,420.10, 2,130.36 and 865.23 is: 1,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.10 : 2,130.36 = 865.23 : x
  2. Step 2: Convert to fraction form
    1,420.10/2,130.36 = 865.23/x
  3. Step 3: Cross multiply
    1,420.10x = 2,130.36 × 865.23
  4. Step 4: Simplify right side
    1,420.10x = 1,843,251.38
  5. Step 5: Solve for x
    x = 1,843,251.38/1,420.10
  6. Step 6: Final answer
    x = 1,297.97

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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.