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Finding the Fourth Proportional to 4,370, 6,555.96 and 1,634

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Solution

The fourth proportional to 4,370, 6,555.96 and 1,634 is: 2,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370 : 6,555.96 = 1,634 : x
  2. Step 2: Convert to fraction form
    4,370/6,555.96 = 1,634/x
  3. Step 3: Cross multiply
    4,370x = 6,555.96 × 1,634
  4. Step 4: Simplify right side
    4,370x = 10,712,438.64
  5. Step 5: Solve for x
    x = 10,712,438.64/4,370
  6. Step 6: Final answer
    x = 2,451.36

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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.