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Finding the Fourth Proportional to 14,187.84, 19,576.80 and 7,899

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Solution

The fourth proportional to 14,187.84, 19,576.80 and 7,899 is: 10,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.84 : 19,576.80 = 7,899 : x
  2. Step 2: Convert to fraction form
    14,187.84/19,576.80 = 7,899/x
  3. Step 3: Cross multiply
    14,187.84x = 19,576.80 × 7,899
  4. Step 4: Simplify right side
    14,187.84x = 154,637,143.20
  5. Step 5: Solve for x
    x = 154,637,143.20/14,187.84
  6. Step 6: Final answer
    x = 10,899.27

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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.