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Finding the Fourth Proportional to 14,141, 21,062.13 and 13,400.84

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Solution

The fourth proportional to 14,141, 21,062.13 and 13,400.84 is: 19,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141 : 21,062.13 = 13,400.84 : x
  2. Step 2: Convert to fraction form
    14,141/21,062.13 = 13,400.84/x
  3. Step 3: Cross multiply
    14,141x = 21,062.13 × 13,400.84
  4. Step 4: Simplify right side
    14,141x = 282,250,234.19
  5. Step 5: Solve for x
    x = 282,250,234.19/14,141
  6. Step 6: Final answer
    x = 19,959.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.