Home / 1,529.16-2,109.98-865.87

Finding the Fourth Proportional to 1,529.16, 2,109.98 and 865.87

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Solution

The fourth proportional to 1,529.16, 2,109.98 and 865.87 is: 1,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.16 : 2,109.98 = 865.87 : x
  2. Step 2: Convert to fraction form
    1,529.16/2,109.98 = 865.87/x
  3. Step 3: Cross multiply
    1,529.16x = 2,109.98 × 865.87
  4. Step 4: Simplify right side
    1,529.16x = 1,826,977.14
  5. Step 5: Solve for x
    x = 1,826,977.14/1,529.16
  6. Step 6: Final answer
    x = 1,194.76

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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.