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Finding the Fourth Proportional to 12,664.80, 18,987.48 and 6,419.70

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Solution

The fourth proportional to 12,664.80, 18,987.48 and 6,419.70 is: 9,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.80 : 18,987.48 = 6,419.70 : x
  2. Step 2: Convert to fraction form
    12,664.80/18,987.48 = 6,419.70/x
  3. Step 3: Cross multiply
    12,664.80x = 18,987.48 × 6,419.70
  4. Step 4: Simplify right side
    12,664.80x = 121,893,925.36
  5. Step 5: Solve for x
    x = 121,893,925.36/12,664.80
  6. Step 6: Final answer
    x = 9,624.62

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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.