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Finding the Fourth Proportional to 28,597.50, 42,896.34 and 7,821

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Solution

The fourth proportional to 28,597.50, 42,896.34 and 7,821 is: 11,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,597.50 : 42,896.34 = 7,821 : x
  2. Step 2: Convert to fraction form
    28,597.50/42,896.34 = 7,821/x
  3. Step 3: Cross multiply
    28,597.50x = 42,896.34 × 7,821
  4. Step 4: Simplify right side
    28,597.50x = 335,492,275.14
  5. Step 5: Solve for x
    x = 335,492,275.14/28,597.50
  6. Step 6: Final answer
    x = 11,731.52

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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.