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Finding the Fourth Proportional to 1,702.09, 2,564.72 and 1,400.70

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Solution

The fourth proportional to 1,702.09, 2,564.72 and 1,400.70 is: 2,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.09 : 2,564.72 = 1,400.70 : x
  2. Step 2: Convert to fraction form
    1,702.09/2,564.72 = 1,400.70/x
  3. Step 3: Cross multiply
    1,702.09x = 2,564.72 × 1,400.70
  4. Step 4: Simplify right side
    1,702.09x = 3,592,396.30
  5. Step 5: Solve for x
    x = 3,592,396.30/1,702.09
  6. Step 6: Final answer
    x = 2,110.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.