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Finding the Fourth Proportional to 3,417.69, 5,115.59 and 1,771.98

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Solution

The fourth proportional to 3,417.69, 5,115.59 and 1,771.98 is: 2,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.69 : 5,115.59 = 1,771.98 : x
  2. Step 2: Convert to fraction form
    3,417.69/5,115.59 = 1,771.98/x
  3. Step 3: Cross multiply
    3,417.69x = 5,115.59 × 1,771.98
  4. Step 4: Simplify right side
    3,417.69x = 9,064,701.77
  5. Step 5: Solve for x
    x = 9,064,701.77/3,417.69
  6. Step 6: Final answer
    x = 2,652.29

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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.