Home / 1,530.22-2,111.66-867.06

Finding the Fourth Proportional to 1,530.22, 2,111.66 and 867.06

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Solution

The fourth proportional to 1,530.22, 2,111.66 and 867.06 is: 1,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.22 : 2,111.66 = 867.06 : x
  2. Step 2: Convert to fraction form
    1,530.22/2,111.66 = 867.06/x
  3. Step 3: Cross multiply
    1,530.22x = 2,111.66 × 867.06
  4. Step 4: Simplify right side
    1,530.22x = 1,830,935.92
  5. Step 5: Solve for x
    x = 1,830,935.92/1,530.22
  6. Step 6: Final answer
    x = 1,196.52

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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.