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Finding the Fourth Proportional to 15,753, 21,738.44 and 8,582.94

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Solution

The fourth proportional to 15,753, 21,738.44 and 8,582.94 is: 11,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753 : 21,738.44 = 8,582.94 : x
  2. Step 2: Convert to fraction form
    15,753/21,738.44 = 8,582.94/x
  3. Step 3: Cross multiply
    15,753x = 21,738.44 × 8,582.94
  4. Step 4: Simplify right side
    15,753x = 186,579,726.21
  5. Step 5: Solve for x
    x = 186,579,726.21/15,753
  6. Step 6: Final answer
    x = 11,844.08

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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.