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Finding the Fourth Proportional to 11,642.69, 16,068.03 and 7,169.06

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Solution

The fourth proportional to 11,642.69, 16,068.03 and 7,169.06 is: 9,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.69 : 16,068.03 = 7,169.06 : x
  2. Step 2: Convert to fraction form
    11,642.69/16,068.03 = 7,169.06/x
  3. Step 3: Cross multiply
    11,642.69x = 16,068.03 × 7,169.06
  4. Step 4: Simplify right side
    11,642.69x = 115,192,590.81
  5. Step 5: Solve for x
    x = 115,192,590.81/11,642.69
  6. Step 6: Final answer
    x = 9,893.99

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1.5x scale

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.