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Finding the Fourth Proportional to 1,702.08, 2,350.62 and 1,465.56

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Solution

The fourth proportional to 1,702.08, 2,350.62 and 1,465.56 is: 2,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.08 : 2,350.62 = 1,465.56 : x
  2. Step 2: Convert to fraction form
    1,702.08/2,350.62 = 1,465.56/x
  3. Step 3: Cross multiply
    1,702.08x = 2,350.62 × 1,465.56
  4. Step 4: Simplify right side
    1,702.08x = 3,444,974.65
  5. Step 5: Solve for x
    x = 3,444,974.65/1,702.08
  6. Step 6: Final answer
    x = 2,023.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.