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Finding the Fourth Proportional to 1,409.99, 2,112.75 and 946.06

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Solution

The fourth proportional to 1,409.99, 2,112.75 and 946.06 is: 1,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.99 : 2,112.75 = 946.06 : x
  2. Step 2: Convert to fraction form
    1,409.99/2,112.75 = 946.06/x
  3. Step 3: Cross multiply
    1,409.99x = 2,112.75 × 946.06
  4. Step 4: Simplify right side
    1,409.99x = 1,998,788.27
  5. Step 5: Solve for x
    x = 1,998,788.27/1,409.99
  6. Step 6: Final answer
    x = 1,417.59

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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.