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Finding the Fourth Proportional to 12,412, 18,618 and 3,646.72

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Solution

The fourth proportional to 12,412, 18,618 and 3,646.72 is: 5,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412 : 18,618 = 3,646.72 : x
  2. Step 2: Convert to fraction form
    12,412/18,618 = 3,646.72/x
  3. Step 3: Cross multiply
    12,412x = 18,618 × 3,646.72
  4. Step 4: Simplify right side
    12,412x = 67,894,632.96
  5. Step 5: Solve for x
    x = 67,894,632.96/12,412
  6. Step 6: Final answer
    x = 5,470.08

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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.