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Finding the Fourth Proportional to 21,873.39, 32,810.82 and 7,834.35

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Solution

The fourth proportional to 21,873.39, 32,810.82 and 7,834.35 is: 11,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.39 : 32,810.82 = 7,834.35 : x
  2. Step 2: Convert to fraction form
    21,873.39/32,810.82 = 7,834.35/x
  3. Step 3: Cross multiply
    21,873.39x = 32,810.82 × 7,834.35
  4. Step 4: Simplify right side
    21,873.39x = 257,051,447.67
  5. Step 5: Solve for x
    x = 257,051,447.67/21,873.39
  6. Step 6: Final answer
    x = 11,751.79

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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.