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Finding the Fourth Proportional to 2,477.98, 3,717.20 and 897.09

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Solution

The fourth proportional to 2,477.98, 3,717.20 and 897.09 is: 1,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.98 : 3,717.20 = 897.09 : x
  2. Step 2: Convert to fraction form
    2,477.98/3,717.20 = 897.09/x
  3. Step 3: Cross multiply
    2,477.98x = 3,717.20 × 897.09
  4. Step 4: Simplify right side
    2,477.98x = 3,334,658.46
  5. Step 5: Solve for x
    x = 3,334,658.46/2,477.98
  6. Step 6: Final answer
    x = 1,345.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.