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Finding the Fourth Proportional to 12,669, 19,009.98 and 5,651.16

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Solution

The fourth proportional to 12,669, 19,009.98 and 5,651.16 is: 8,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,669 : 19,009.98 = 5,651.16 : x
  2. Step 2: Convert to fraction form
    12,669/19,009.98 = 5,651.16/x
  3. Step 3: Cross multiply
    12,669x = 19,009.98 × 5,651.16
  4. Step 4: Simplify right side
    12,669x = 107,428,438.58
  5. Step 5: Solve for x
    x = 107,428,438.58/12,669
  6. Step 6: Final answer
    x = 8,479.63

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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.