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Finding the Fourth Proportional to 10,966.35, 16,423.40 and 7,005.35

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Solution

The fourth proportional to 10,966.35, 16,423.40 and 7,005.35 is: 10,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.35 : 16,423.40 = 7,005.35 : x
  2. Step 2: Convert to fraction form
    10,966.35/16,423.40 = 7,005.35/x
  3. Step 3: Cross multiply
    10,966.35x = 16,423.40 × 7,005.35
  4. Step 4: Simplify right side
    10,966.35x = 115,051,548.05
  5. Step 5: Solve for x
    x = 115,051,548.05/10,966.35
  6. Step 6: Final answer
    x = 10,491.33

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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.