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Finding the Fourth Proportional to 21,313.62, 29,412.99 and 12,816

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Solution

The fourth proportional to 21,313.62, 29,412.99 and 12,816 is: 17,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.62 : 29,412.99 = 12,816 : x
  2. Step 2: Convert to fraction form
    21,313.62/29,412.99 = 12,816/x
  3. Step 3: Cross multiply
    21,313.62x = 29,412.99 × 12,816
  4. Step 4: Simplify right side
    21,313.62x = 376,956,879.84
  5. Step 5: Solve for x
    x = 376,956,879.84/21,313.62
  6. Step 6: Final answer
    x = 17,686.20

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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.