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Finding the Fourth Proportional to 15,936, 21,992.96 and 9,313.28

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Solution

The fourth proportional to 15,936, 21,992.96 and 9,313.28 is: 12,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936 : 21,992.96 = 9,313.28 : x
  2. Step 2: Convert to fraction form
    15,936/21,992.96 = 9,313.28/x
  3. Step 3: Cross multiply
    15,936x = 21,992.96 × 9,313.28
  4. Step 4: Simplify right side
    15,936x = 204,826,594.51
  5. Step 5: Solve for x
    x = 204,826,594.51/15,936
  6. Step 6: Final answer
    x = 12,853.07

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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.