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Finding the Fourth Proportional to 12,657.69, 18,969.93 and 11,006.37

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Solution

The fourth proportional to 12,657.69, 18,969.93 and 11,006.37 is: 16,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.69 : 18,969.93 = 11,006.37 : x
  2. Step 2: Convert to fraction form
    12,657.69/18,969.93 = 11,006.37/x
  3. Step 3: Cross multiply
    12,657.69x = 18,969.93 × 11,006.37
  4. Step 4: Simplify right side
    12,657.69x = 208,790,068.45
  5. Step 5: Solve for x
    x = 208,790,068.45/12,657.69
  6. Step 6: Final answer
    x = 16,495.12

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1.5x scale

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.