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Finding the Fourth Proportional to 11,122.64, 16,666.68 and 7,010

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Solution

The fourth proportional to 11,122.64, 16,666.68 and 7,010 is: 10,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.64 : 16,666.68 = 7,010 : x
  2. Step 2: Convert to fraction form
    11,122.64/16,666.68 = 7,010/x
  3. Step 3: Cross multiply
    11,122.64x = 16,666.68 × 7,010
  4. Step 4: Simplify right side
    11,122.64x = 116,833,426.80
  5. Step 5: Solve for x
    x = 116,833,426.80/11,122.64
  6. Step 6: Final answer
    x = 10,504.11

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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.