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Finding the Fourth Proportional to 5,588.85, 8,384.40 and 1,640.10

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Solution

The fourth proportional to 5,588.85, 8,384.40 and 1,640.10 is: 2,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.85 : 8,384.40 = 1,640.10 : x
  2. Step 2: Convert to fraction form
    5,588.85/8,384.40 = 1,640.10/x
  3. Step 3: Cross multiply
    5,588.85x = 8,384.40 × 1,640.10
  4. Step 4: Simplify right side
    5,588.85x = 13,751,254.44
  5. Step 5: Solve for x
    x = 13,751,254.44/5,588.85
  6. Step 6: Final answer
    x = 2,460.48

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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.