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Finding the Fourth Proportional to 1,977.75, 2,966.63 and 823.50

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Solution

The fourth proportional to 1,977.75, 2,966.63 and 823.50 is: 1,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.75 : 2,966.63 = 823.50 : x
  2. Step 2: Convert to fraction form
    1,977.75/2,966.63 = 823.50/x
  3. Step 3: Cross multiply
    1,977.75x = 2,966.63 × 823.50
  4. Step 4: Simplify right side
    1,977.75x = 2,443,015.69
  5. Step 5: Solve for x
    x = 2,443,015.69/1,977.75
  6. Step 6: Final answer
    x = 1,235.25

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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.