Home / 1,871.10-2,806.92-946.35

Finding the Fourth Proportional to 1,871.10, 2,806.92 and 946.35

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Solution

The fourth proportional to 1,871.10, 2,806.92 and 946.35 is: 1,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.10 : 2,806.92 = 946.35 : x
  2. Step 2: Convert to fraction form
    1,871.10/2,806.92 = 946.35/x
  3. Step 3: Cross multiply
    1,871.10x = 2,806.92 × 946.35
  4. Step 4: Simplify right side
    1,871.10x = 2,656,328.74
  5. Step 5: Solve for x
    x = 2,656,328.74/1,871.10
  6. Step 6: Final answer
    x = 1,419.66

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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.