Home / 1,427.87-1,971.68-1,009.15

Finding the Fourth Proportional to 1,427.87, 1,971.68 and 1,009.15

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Solution

The fourth proportional to 1,427.87, 1,971.68 and 1,009.15 is: 1,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.87 : 1,971.68 = 1,009.15 : x
  2. Step 2: Convert to fraction form
    1,427.87/1,971.68 = 1,009.15/x
  3. Step 3: Cross multiply
    1,427.87x = 1,971.68 × 1,009.15
  4. Step 4: Simplify right side
    1,427.87x = 1,989,710.90
  5. Step 5: Solve for x
    x = 1,989,710.90/1,427.87
  6. Step 6: Final answer
    x = 1,393.48

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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.