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Finding the Fourth Proportional to 13,412.69, 18,509.99 and 8,106.47

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Solution

The fourth proportional to 13,412.69, 18,509.99 and 8,106.47 is: 11,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.69 : 18,509.99 = 8,106.47 : x
  2. Step 2: Convert to fraction form
    13,412.69/18,509.99 = 8,106.47/x
  3. Step 3: Cross multiply
    13,412.69x = 18,509.99 × 8,106.47
  4. Step 4: Simplify right side
    13,412.69x = 150,050,545.55
  5. Step 5: Solve for x
    x = 150,050,545.55/13,412.69
  6. Step 6: Final answer
    x = 11,187.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.