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Finding the Fourth Proportional to 2,970.98, 4,099.88 and 1,712.02

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Solution

The fourth proportional to 2,970.98, 4,099.88 and 1,712.02 is: 2,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.98 : 4,099.88 = 1,712.02 : x
  2. Step 2: Convert to fraction form
    2,970.98/4,099.88 = 1,712.02/x
  3. Step 3: Cross multiply
    2,970.98x = 4,099.88 × 1,712.02
  4. Step 4: Simplify right side
    2,970.98x = 7,019,078.28
  5. Step 5: Solve for x
    x = 7,019,078.28/2,970.98
  6. Step 6: Final answer
    x = 2,362.55

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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.