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Finding the Fourth Proportional to 12,429, 18,643.68 and 4,637.88

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Solution

The fourth proportional to 12,429, 18,643.68 and 4,637.88 is: 6,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429 : 18,643.68 = 4,637.88 : x
  2. Step 2: Convert to fraction form
    12,429/18,643.68 = 4,637.88/x
  3. Step 3: Cross multiply
    12,429x = 18,643.68 × 4,637.88
  4. Step 4: Simplify right side
    12,429x = 86,467,150.60
  5. Step 5: Solve for x
    x = 86,467,150.60/12,429
  6. Step 6: Final answer
    x = 6,956.89

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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.