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Finding the Fourth Proportional to 14,210.99, 19,610.94 and 7,838.21

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Solution

The fourth proportional to 14,210.99, 19,610.94 and 7,838.21 is: 10,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.99 : 19,610.94 = 7,838.21 : x
  2. Step 2: Convert to fraction form
    14,210.99/19,610.94 = 7,838.21/x
  3. Step 3: Cross multiply
    14,210.99x = 19,610.94 × 7,838.21
  4. Step 4: Simplify right side
    14,210.99x = 153,714,540.41
  5. Step 5: Solve for x
    x = 153,714,540.41/14,210.99
  6. Step 6: Final answer
    x = 10,816.59

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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.