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Finding the Fourth Proportional to 5,588, 8,385.84 and 1,940

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Solution

The fourth proportional to 5,588, 8,385.84 and 1,940 is: 2,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588 : 8,385.84 = 1,940 : x
  2. Step 2: Convert to fraction form
    5,588/8,385.84 = 1,940/x
  3. Step 3: Cross multiply
    5,588x = 8,385.84 × 1,940
  4. Step 4: Simplify right side
    5,588x = 16,268,529.60
  5. Step 5: Solve for x
    x = 16,268,529.60/5,588
  6. Step 6: Final answer
    x = 2,911.33

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Why These Related Problems?

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