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Finding the Fourth Proportional to 12,708, 19,062.66 and 4,809.72

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Solution

The fourth proportional to 12,708, 19,062.66 and 4,809.72 is: 7,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708 : 19,062.66 = 4,809.72 : x
  2. Step 2: Convert to fraction form
    12,708/19,062.66 = 4,809.72/x
  3. Step 3: Cross multiply
    12,708x = 19,062.66 × 4,809.72
  4. Step 4: Simplify right side
    12,708x = 91,686,057.06
  5. Step 5: Solve for x
    x = 91,686,057.06/12,708
  6. Step 6: Final answer
    x = 7,214.83

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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.