Home / 1,916.37-2,872.40-943.16

Finding the Fourth Proportional to 1,916.37, 2,872.40 and 943.16

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Solution

The fourth proportional to 1,916.37, 2,872.40 and 943.16 is: 1,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.37 : 2,872.40 = 943.16 : x
  2. Step 2: Convert to fraction form
    1,916.37/2,872.40 = 943.16/x
  3. Step 3: Cross multiply
    1,916.37x = 2,872.40 × 943.16
  4. Step 4: Simplify right side
    1,916.37x = 2,709,113.71
  5. Step 5: Solve for x
    x = 2,709,113.71/1,916.37
  6. Step 6: Final answer
    x = 1,413.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.