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Finding the Fourth Proportional to 1,917.70, 2,875.93 and 821.77

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Solution

The fourth proportional to 1,917.70, 2,875.93 and 821.77 is: 1,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.70 : 2,875.93 = 821.77 : x
  2. Step 2: Convert to fraction form
    1,917.70/2,875.93 = 821.77/x
  3. Step 3: Cross multiply
    1,917.70x = 2,875.93 × 821.77
  4. Step 4: Simplify right side
    1,917.70x = 2,363,353.00
  5. Step 5: Solve for x
    x = 2,363,353.00/1,917.70
  6. Step 6: Final answer
    x = 1,232.39

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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.