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Finding the Fourth Proportional to 14,464, 21,679.68 and 7,888

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Solution

The fourth proportional to 14,464, 21,679.68 and 7,888 is: 11,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464 : 21,679.68 = 7,888 : x
  2. Step 2: Convert to fraction form
    14,464/21,679.68 = 7,888/x
  3. Step 3: Cross multiply
    14,464x = 21,679.68 × 7,888
  4. Step 4: Simplify right side
    14,464x = 171,009,315.84
  5. Step 5: Solve for x
    x = 171,009,315.84/14,464
  6. Step 6: Final answer
    x = 11,823.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.