Home / 1,535.71-2,119.31-837.09

Finding the Fourth Proportional to 1,535.71, 2,119.31 and 837.09

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Solution

The fourth proportional to 1,535.71, 2,119.31 and 837.09 is: 1,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.71 : 2,119.31 = 837.09 : x
  2. Step 2: Convert to fraction form
    1,535.71/2,119.31 = 837.09/x
  3. Step 3: Cross multiply
    1,535.71x = 2,119.31 × 837.09
  4. Step 4: Simplify right side
    1,535.71x = 1,774,053.21
  5. Step 5: Solve for x
    x = 1,774,053.21/1,535.71
  6. Step 6: Final answer
    x = 1,155.20

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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.