Home / 1,870.09-2,806.87-946.30

Finding the Fourth Proportional to 1,870.09, 2,806.87 and 946.30

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Solution

The fourth proportional to 1,870.09, 2,806.87 and 946.30 is: 1,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.09 : 2,806.87 = 946.30 : x
  2. Step 2: Convert to fraction form
    1,870.09/2,806.87 = 946.30/x
  3. Step 3: Cross multiply
    1,870.09x = 2,806.87 × 946.30
  4. Step 4: Simplify right side
    1,870.09x = 2,656,141.08
  5. Step 5: Solve for x
    x = 2,656,141.08/1,870.09
  6. Step 6: Final answer
    x = 1,420.33

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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.