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Finding the Fourth Proportional to 1,295.45, 1,940.43 and 1,047.59

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Solution

The fourth proportional to 1,295.45, 1,940.43 and 1,047.59 is: 1,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.45 : 1,940.43 = 1,047.59 : x
  2. Step 2: Convert to fraction form
    1,295.45/1,940.43 = 1,047.59/x
  3. Step 3: Cross multiply
    1,295.45x = 1,940.43 × 1,047.59
  4. Step 4: Simplify right side
    1,295.45x = 2,032,775.06
  5. Step 5: Solve for x
    x = 2,032,775.06/1,295.45
  6. Step 6: Final answer
    x = 1,569.17

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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.