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Finding the Fourth Proportional to 1,875.50, 2,813.26 and 849.50

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Solution

The fourth proportional to 1,875.50, 2,813.26 and 849.50 is: 1,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.50 : 2,813.26 = 849.50 : x
  2. Step 2: Convert to fraction form
    1,875.50/2,813.26 = 849.50/x
  3. Step 3: Cross multiply
    1,875.50x = 2,813.26 × 849.50
  4. Step 4: Simplify right side
    1,875.50x = 2,389,864.37
  5. Step 5: Solve for x
    x = 2,389,864.37/1,875.50
  6. Step 6: Final answer
    x = 1,274.25

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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.