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Finding the Fourth Proportional to 21,830.43, 32,746.44 and 7,039.56

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Solution

The fourth proportional to 21,830.43, 32,746.44 and 7,039.56 is: 10,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.43 : 32,746.44 = 7,039.56 : x
  2. Step 2: Convert to fraction form
    21,830.43/32,746.44 = 7,039.56/x
  3. Step 3: Cross multiply
    21,830.43x = 32,746.44 × 7,039.56
  4. Step 4: Simplify right side
    21,830.43x = 230,520,529.17
  5. Step 5: Solve for x
    x = 230,520,529.17/21,830.43
  6. Step 6: Final answer
    x = 10,559.60

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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.