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Finding the Fourth Proportional to 3,380, 4,664.50 and 1,887.98

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Solution

The fourth proportional to 3,380, 4,664.50 and 1,887.98 is: 2,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380 : 4,664.50 = 1,887.98 : x
  2. Step 2: Convert to fraction form
    3,380/4,664.50 = 1,887.98/x
  3. Step 3: Cross multiply
    3,380x = 4,664.50 × 1,887.98
  4. Step 4: Simplify right side
    3,380x = 8,806,482.71
  5. Step 5: Solve for x
    x = 8,806,482.71/3,380
  6. Step 6: Final answer
    x = 2,605.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.