Home / 1,535.78-2,119.32-837.14

Finding the Fourth Proportional to 1,535.78, 2,119.32 and 837.14

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Solution

The fourth proportional to 1,535.78, 2,119.32 and 837.14 is: 1,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.78 : 2,119.32 = 837.14 : x
  2. Step 2: Convert to fraction form
    1,535.78/2,119.32 = 837.14/x
  3. Step 3: Cross multiply
    1,535.78x = 2,119.32 × 837.14
  4. Step 4: Simplify right side
    1,535.78x = 1,774,167.54
  5. Step 5: Solve for x
    x = 1,774,167.54/1,535.78
  6. Step 6: Final answer
    x = 1,155.22

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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.