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Finding the Fourth Proportional to 2,101.57, 2,899.22 and 1,428.55

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Solution

The fourth proportional to 2,101.57, 2,899.22 and 1,428.55 is: 1,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.57 : 2,899.22 = 1,428.55 : x
  2. Step 2: Convert to fraction form
    2,101.57/2,899.22 = 1,428.55/x
  3. Step 3: Cross multiply
    2,101.57x = 2,899.22 × 1,428.55
  4. Step 4: Simplify right side
    2,101.57x = 4,141,666.34
  5. Step 5: Solve for x
    x = 4,141,666.34/2,101.57
  6. Step 6: Final answer
    x = 1,970.75

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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.