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Finding the Fourth Proportional to 2,966.63, 4,094.01 and 1,920.51

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Solution

The fourth proportional to 2,966.63, 4,094.01 and 1,920.51 is: 2,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.63 : 4,094.01 = 1,920.51 : x
  2. Step 2: Convert to fraction form
    2,966.63/4,094.01 = 1,920.51/x
  3. Step 3: Cross multiply
    2,966.63x = 4,094.01 × 1,920.51
  4. Step 4: Simplify right side
    2,966.63x = 7,862,587.15
  5. Step 5: Solve for x
    x = 7,862,587.15/2,966.63
  6. Step 6: Final answer
    x = 2,650.35

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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.