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Finding the Fourth Proportional to 2,970.54, 4,104.45 and 2,865.42

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Solution

The fourth proportional to 2,970.54, 4,104.45 and 2,865.42 is: 3,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.54 : 4,104.45 = 2,865.42 : x
  2. Step 2: Convert to fraction form
    2,970.54/4,104.45 = 2,865.42/x
  3. Step 3: Cross multiply
    2,970.54x = 4,104.45 × 2,865.42
  4. Step 4: Simplify right side
    2,970.54x = 11,760,973.12
  5. Step 5: Solve for x
    x = 11,760,973.12/2,970.54
  6. Step 6: Final answer
    x = 3,959.20

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1.5x scale

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.