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Finding the Fourth Proportional to 15,824.36, 21,838.92 and 8,752.16

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Solution

The fourth proportional to 15,824.36, 21,838.92 and 8,752.16 is: 12,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.36 : 21,838.92 = 8,752.16 : x
  2. Step 2: Convert to fraction form
    15,824.36/21,838.92 = 8,752.16/x
  3. Step 3: Cross multiply
    15,824.36x = 21,838.92 × 8,752.16
  4. Step 4: Simplify right side
    15,824.36x = 191,137,722.07
  5. Step 5: Solve for x
    x = 191,137,722.07/15,824.36
  6. Step 6: Final answer
    x = 12,078.70

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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.