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Finding the Fourth Proportional to 14,146, 19,521.50 and 7,858.96

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Solution

The fourth proportional to 14,146, 19,521.50 and 7,858.96 is: 10,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146 : 19,521.50 = 7,858.96 : x
  2. Step 2: Convert to fraction form
    14,146/19,521.50 = 7,858.96/x
  3. Step 3: Cross multiply
    14,146x = 19,521.50 × 7,858.96
  4. Step 4: Simplify right side
    14,146x = 153,418,687.64
  5. Step 5: Solve for x
    x = 153,418,687.64/14,146
  6. Step 6: Final answer
    x = 10,845.38

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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.