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Finding the Fourth Proportional to 1,970.96, 2,718.90 and 1,224.63

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Solution

The fourth proportional to 1,970.96, 2,718.90 and 1,224.63 is: 1,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.96 : 2,718.90 = 1,224.63 : x
  2. Step 2: Convert to fraction form
    1,970.96/2,718.90 = 1,224.63/x
  3. Step 3: Cross multiply
    1,970.96x = 2,718.90 × 1,224.63
  4. Step 4: Simplify right side
    1,970.96x = 3,329,646.51
  5. Step 5: Solve for x
    x = 3,329,646.51/1,970.96
  6. Step 6: Final answer
    x = 1,689.36

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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.