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Finding the Fourth Proportional to 1,869.10, 2,803.87 and 774.24

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Solution

The fourth proportional to 1,869.10, 2,803.87 and 774.24 is: 1,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.10 : 2,803.87 = 774.24 : x
  2. Step 2: Convert to fraction form
    1,869.10/2,803.87 = 774.24/x
  3. Step 3: Cross multiply
    1,869.10x = 2,803.87 × 774.24
  4. Step 4: Simplify right side
    1,869.10x = 2,170,858.76
  5. Step 5: Solve for x
    x = 2,170,858.76/1,869.10
  6. Step 6: Final answer
    x = 1,161.45

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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.