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Finding the Fourth Proportional to 2,017.60, 2,787.12 and 1,557.76

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Solution

The fourth proportional to 2,017.60, 2,787.12 and 1,557.76 is: 2,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.60 : 2,787.12 = 1,557.76 : x
  2. Step 2: Convert to fraction form
    2,017.60/2,787.12 = 1,557.76/x
  3. Step 3: Cross multiply
    2,017.60x = 2,787.12 × 1,557.76
  4. Step 4: Simplify right side
    2,017.60x = 4,341,664.05
  5. Step 5: Solve for x
    x = 4,341,664.05/2,017.60
  6. Step 6: Final answer
    x = 2,151.90

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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.