Home / 1,530.76-2,112.40-867.67

Finding the Fourth Proportional to 1,530.76, 2,112.40 and 867.67

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Solution

The fourth proportional to 1,530.76, 2,112.40 and 867.67 is: 1,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.76 : 2,112.40 = 867.67 : x
  2. Step 2: Convert to fraction form
    1,530.76/2,112.40 = 867.67/x
  3. Step 3: Cross multiply
    1,530.76x = 2,112.40 × 867.67
  4. Step 4: Simplify right side
    1,530.76x = 1,832,869.83
  5. Step 5: Solve for x
    x = 1,832,869.83/1,530.76
  6. Step 6: Final answer
    x = 1,197.36

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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.