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Finding the Fourth Proportional to 12,779.40, 19,178.41 and 6,544.62

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Solution

The fourth proportional to 12,779.40, 19,178.41 and 6,544.62 is: 9,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.40 : 19,178.41 = 6,544.62 : x
  2. Step 2: Convert to fraction form
    12,779.40/19,178.41 = 6,544.62/x
  3. Step 3: Cross multiply
    12,779.40x = 19,178.41 × 6,544.62
  4. Step 4: Simplify right side
    12,779.40x = 125,515,405.65
  5. Step 5: Solve for x
    x = 125,515,405.65/12,779.40
  6. Step 6: Final answer
    x = 9,821.70

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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.