Home / 1,530.65-2,112.30-867.51

Finding the Fourth Proportional to 1,530.65, 2,112.30 and 867.51

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Solution

The fourth proportional to 1,530.65, 2,112.30 and 867.51 is: 1,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.65 : 2,112.30 = 867.51 : x
  2. Step 2: Convert to fraction form
    1,530.65/2,112.30 = 867.51/x
  3. Step 3: Cross multiply
    1,530.65x = 2,112.30 × 867.51
  4. Step 4: Simplify right side
    1,530.65x = 1,832,443.81
  5. Step 5: Solve for x
    x = 1,832,443.81/1,530.65
  6. Step 6: Final answer
    x = 1,197.17

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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.