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Finding the Fourth Proportional to 1,952.99, 2,927.40 and 911.78

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Solution

The fourth proportional to 1,952.99, 2,927.40 and 911.78 is: 1,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.99 : 2,927.40 = 911.78 : x
  2. Step 2: Convert to fraction form
    1,952.99/2,927.40 = 911.78/x
  3. Step 3: Cross multiply
    1,952.99x = 2,927.40 × 911.78
  4. Step 4: Simplify right side
    1,952.99x = 2,669,144.77
  5. Step 5: Solve for x
    x = 2,669,144.77/1,952.99
  6. Step 6: Final answer
    x = 1,366.70

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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.