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Finding the Fourth Proportional to 13,011.81, 19,528.65 and 6,774

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Solution

The fourth proportional to 13,011.81, 19,528.65 and 6,774 is: 10,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.81 : 19,528.65 = 6,774 : x
  2. Step 2: Convert to fraction form
    13,011.81/19,528.65 = 6,774/x
  3. Step 3: Cross multiply
    13,011.81x = 19,528.65 × 6,774
  4. Step 4: Simplify right side
    13,011.81x = 132,287,075.10
  5. Step 5: Solve for x
    x = 132,287,075.10/13,011.81
  6. Step 6: Final answer
    x = 10,166.69

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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.