Home / 1,535.84-2,119.40-837.22

Finding the Fourth Proportional to 1,535.84, 2,119.40 and 837.22

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Solution

The fourth proportional to 1,535.84, 2,119.40 and 837.22 is: 1,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.84 : 2,119.40 = 837.22 : x
  2. Step 2: Convert to fraction form
    1,535.84/2,119.40 = 837.22/x
  3. Step 3: Cross multiply
    1,535.84x = 2,119.40 × 837.22
  4. Step 4: Simplify right side
    1,535.84x = 1,774,404.07
  5. Step 5: Solve for x
    x = 1,774,404.07/1,535.84
  6. Step 6: Final answer
    x = 1,155.33

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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.