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Finding the Fourth Proportional to 1,935.54, 2,903.88 and 702.90

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Solution

The fourth proportional to 1,935.54, 2,903.88 and 702.90 is: 1,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.54 : 2,903.88 = 702.90 : x
  2. Step 2: Convert to fraction form
    1,935.54/2,903.88 = 702.90/x
  3. Step 3: Cross multiply
    1,935.54x = 2,903.88 × 702.90
  4. Step 4: Simplify right side
    1,935.54x = 2,041,137.25
  5. Step 5: Solve for x
    x = 2,041,137.25/1,935.54
  6. Step 6: Final answer
    x = 1,054.56

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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.