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Finding the Fourth Proportional to 14,146, 19,521.48 and 7,859.68

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Solution

The fourth proportional to 14,146, 19,521.48 and 7,859.68 is: 10,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146 : 19,521.48 = 7,859.68 : x
  2. Step 2: Convert to fraction form
    14,146/19,521.48 = 7,859.68/x
  3. Step 3: Cross multiply
    14,146x = 19,521.48 × 7,859.68
  4. Step 4: Simplify right side
    14,146x = 153,432,585.93
  5. Step 5: Solve for x
    x = 153,432,585.93/14,146
  6. Step 6: Final answer
    x = 10,846.36

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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.