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Finding the Fourth Proportional to 14,574.92, 20,111.76 and 8,200.28

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Solution

The fourth proportional to 14,574.92, 20,111.76 and 8,200.28 is: 11,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.92 : 20,111.76 = 8,200.28 : x
  2. Step 2: Convert to fraction form
    14,574.92/20,111.76 = 8,200.28/x
  3. Step 3: Cross multiply
    14,574.92x = 20,111.76 × 8,200.28
  4. Step 4: Simplify right side
    14,574.92x = 164,922,063.29
  5. Step 5: Solve for x
    x = 164,922,063.29/14,574.92
  6. Step 6: Final answer
    x = 11,315.47

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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.