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Finding the Fourth Proportional to 21,002.31, 28,984.50 and 11,570.87

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Solution

The fourth proportional to 21,002.31, 28,984.50 and 11,570.87 is: 15,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.31 : 28,984.50 = 11,570.87 : x
  2. Step 2: Convert to fraction form
    21,002.31/28,984.50 = 11,570.87/x
  3. Step 3: Cross multiply
    21,002.31x = 28,984.50 × 11,570.87
  4. Step 4: Simplify right side
    21,002.31x = 335,375,953.98
  5. Step 5: Solve for x
    x = 335,375,953.98/21,002.31
  6. Step 6: Final answer
    x = 15,968.53

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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.