Home / 1,530.77-2,112.14-867.44

Finding the Fourth Proportional to 1,530.77, 2,112.14 and 867.44

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Solution

The fourth proportional to 1,530.77, 2,112.14 and 867.44 is: 1,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.77 : 2,112.14 = 867.44 : x
  2. Step 2: Convert to fraction form
    1,530.77/2,112.14 = 867.44/x
  3. Step 3: Cross multiply
    1,530.77x = 2,112.14 × 867.44
  4. Step 4: Simplify right side
    1,530.77x = 1,832,162.17
  5. Step 5: Solve for x
    x = 1,832,162.17/1,530.77
  6. Step 6: Final answer
    x = 1,196.89

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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.