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Finding the Fourth Proportional to 9,876.44, 14,820.50 and 3,640.83

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Solution

The fourth proportional to 9,876.44, 14,820.50 and 3,640.83 is: 5,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.44 : 14,820.50 = 3,640.83 : x
  2. Step 2: Convert to fraction form
    9,876.44/14,820.50 = 3,640.83/x
  3. Step 3: Cross multiply
    9,876.44x = 14,820.50 × 3,640.83
  4. Step 4: Simplify right side
    9,876.44x = 53,958,828.71
  5. Step 5: Solve for x
    x = 53,958,828.71/9,876.44
  6. Step 6: Final answer
    x = 5,463.39

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1.5x scale

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.