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Finding the Fourth Proportional to 1,969.95, 2,718.93 and 1,224.39

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Solution

The fourth proportional to 1,969.95, 2,718.93 and 1,224.39 is: 1,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.95 : 2,718.93 = 1,224.39 : x
  2. Step 2: Convert to fraction form
    1,969.95/2,718.93 = 1,224.39/x
  3. Step 3: Cross multiply
    1,969.95x = 2,718.93 × 1,224.39
  4. Step 4: Simplify right side
    1,969.95x = 3,329,030.70
  5. Step 5: Solve for x
    x = 3,329,030.70/1,969.95
  6. Step 6: Final answer
    x = 1,689.91

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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.