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Finding the Fourth Proportional to 2,098, 2,893.98 and 1,390.60

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Solution

The fourth proportional to 2,098, 2,893.98 and 1,390.60 is: 1,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098 : 2,893.98 = 1,390.60 : x
  2. Step 2: Convert to fraction form
    2,098/2,893.98 = 1,390.60/x
  3. Step 3: Cross multiply
    2,098x = 2,893.98 × 1,390.60
  4. Step 4: Simplify right side
    2,098x = 4,024,368.59
  5. Step 5: Solve for x
    x = 4,024,368.59/2,098
  6. Step 6: Final answer
    x = 1,918.19

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Why These Related Problems?

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