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Finding the Fourth Proportional to 12,317.08, 16,996.96 and 7,011.40

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Solution

The fourth proportional to 12,317.08, 16,996.96 and 7,011.40 is: 9,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.08 : 16,996.96 = 7,011.40 : x
  2. Step 2: Convert to fraction form
    12,317.08/16,996.96 = 7,011.40/x
  3. Step 3: Cross multiply
    12,317.08x = 16,996.96 × 7,011.40
  4. Step 4: Simplify right side
    12,317.08x = 119,172,485.34
  5. Step 5: Solve for x
    x = 119,172,485.34/12,317.08
  6. Step 6: Final answer
    x = 9,675.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.