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Finding the Fourth Proportional to 10,966.23, 16,423.21 and 7,005.23

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Solution

The fourth proportional to 10,966.23, 16,423.21 and 7,005.23 is: 10,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.23 : 16,423.21 = 7,005.23 : x
  2. Step 2: Convert to fraction form
    10,966.23/16,423.21 = 7,005.23/x
  3. Step 3: Cross multiply
    10,966.23x = 16,423.21 × 7,005.23
  4. Step 4: Simplify right side
    10,966.23x = 115,048,363.39
  5. Step 5: Solve for x
    x = 115,048,363.39/10,966.23
  6. Step 6: Final answer
    x = 10,491.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.