Home / 1,530.81-2,112.58-867.71

Finding the Fourth Proportional to 1,530.81, 2,112.58 and 867.71

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Solution

The fourth proportional to 1,530.81, 2,112.58 and 867.71 is: 1,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.81 : 2,112.58 = 867.71 : x
  2. Step 2: Convert to fraction form
    1,530.81/2,112.58 = 867.71/x
  3. Step 3: Cross multiply
    1,530.81x = 2,112.58 × 867.71
  4. Step 4: Simplify right side
    1,530.81x = 1,833,106.79
  5. Step 5: Solve for x
    x = 1,833,106.79/1,530.81
  6. Step 6: Final answer
    x = 1,197.48

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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.