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Finding the Fourth Proportional to 2,965.50, 4,093.20 and 1,970.28

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Solution

The fourth proportional to 2,965.50, 4,093.20 and 1,970.28 is: 2,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.50 : 4,093.20 = 1,970.28 : x
  2. Step 2: Convert to fraction form
    2,965.50/4,093.20 = 1,970.28/x
  3. Step 3: Cross multiply
    2,965.50x = 4,093.20 × 1,970.28
  4. Step 4: Simplify right side
    2,965.50x = 8,064,750.10
  5. Step 5: Solve for x
    x = 8,064,750.10/2,965.50
  6. Step 6: Final answer
    x = 2,719.52

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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.