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Finding the Fourth Proportional to 3,005.73, 4,510.93 and 1,965.45

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Solution

The fourth proportional to 3,005.73, 4,510.93 and 1,965.45 is: 2,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.73 : 4,510.93 = 1,965.45 : x
  2. Step 2: Convert to fraction form
    3,005.73/4,510.93 = 1,965.45/x
  3. Step 3: Cross multiply
    3,005.73x = 4,510.93 × 1,965.45
  4. Step 4: Simplify right side
    3,005.73x = 8,866,008.82
  5. Step 5: Solve for x
    x = 8,866,008.82/3,005.73
  6. Step 6: Final answer
    x = 2,949.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.