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Finding the Fourth Proportional to 13,021.12, 19,536 and 8,655.76

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Solution

The fourth proportional to 13,021.12, 19,536 and 8,655.76 is: 12,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.12 : 19,536 = 8,655.76 : x
  2. Step 2: Convert to fraction form
    13,021.12/19,536 = 8,655.76/x
  3. Step 3: Cross multiply
    13,021.12x = 19,536 × 8,655.76
  4. Step 4: Simplify right side
    13,021.12x = 169,098,927.36
  5. Step 5: Solve for x
    x = 169,098,927.36/13,021.12
  6. Step 6: Final answer
    x = 12,986.51

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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.