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Finding the Fourth Proportional to 12,411.80, 18,618 and 3,646.99

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Solution

The fourth proportional to 12,411.80, 18,618 and 3,646.99 is: 5,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.80 : 18,618 = 3,646.99 : x
  2. Step 2: Convert to fraction form
    12,411.80/18,618 = 3,646.99/x
  3. Step 3: Cross multiply
    12,411.80x = 18,618 × 3,646.99
  4. Step 4: Simplify right side
    12,411.80x = 67,899,659.82
  5. Step 5: Solve for x
    x = 67,899,659.82/12,411.80
  6. Step 6: Final answer
    x = 5,470.57

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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.