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Finding the Fourth Proportional to 1,869.59, 2,804.78 and 933.03

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Solution

The fourth proportional to 1,869.59, 2,804.78 and 933.03 is: 1,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.59 : 2,804.78 = 933.03 : x
  2. Step 2: Convert to fraction form
    1,869.59/2,804.78 = 933.03/x
  3. Step 3: Cross multiply
    1,869.59x = 2,804.78 × 933.03
  4. Step 4: Simplify right side
    1,869.59x = 2,616,954.52
  5. Step 5: Solve for x
    x = 2,616,954.52/1,869.59
  6. Step 6: Final answer
    x = 1,399.75

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1.5x scale

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.