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Finding the Fourth Proportional to 1,409.93, 1,947.68 and 1,019.00

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Solution

The fourth proportional to 1,409.93, 1,947.68 and 1,019.00 is: 1,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.93 : 1,947.68 = 1,019.00 : x
  2. Step 2: Convert to fraction form
    1,409.93/1,947.68 = 1,019.00/x
  3. Step 3: Cross multiply
    1,409.93x = 1,947.68 × 1,019.00
  4. Step 4: Simplify right side
    1,409.93x = 1,984,671.09
  5. Step 5: Solve for x
    x = 1,984,671.09/1,409.93
  6. Step 6: Final answer
    x = 1,407.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.