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Finding the Fourth Proportional to 21,706.81, 32,562.83 and 7,663.95

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Solution

The fourth proportional to 21,706.81, 32,562.83 and 7,663.95 is: 11,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.81 : 32,562.83 = 7,663.95 : x
  2. Step 2: Convert to fraction form
    21,706.81/32,562.83 = 7,663.95/x
  3. Step 3: Cross multiply
    21,706.81x = 32,562.83 × 7,663.95
  4. Step 4: Simplify right side
    21,706.81x = 249,559,900.98
  5. Step 5: Solve for x
    x = 249,559,900.98/21,706.81
  6. Step 6: Final answer
    x = 11,496.85

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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.