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Finding the Fourth Proportional to 2,755.84, 3,801.72 and 1,870.24

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Solution

The fourth proportional to 2,755.84, 3,801.72 and 1,870.24 is: 2,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.84 : 3,801.72 = 1,870.24 : x
  2. Step 2: Convert to fraction form
    2,755.84/3,801.72 = 1,870.24/x
  3. Step 3: Cross multiply
    2,755.84x = 3,801.72 × 1,870.24
  4. Step 4: Simplify right side
    2,755.84x = 7,110,128.81
  5. Step 5: Solve for x
    x = 7,110,128.81/2,755.84
  6. Step 6: Final answer
    x = 2,580.02

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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.