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Finding the Fourth Proportional to 13,007.86, 19,511.65 and 6,764.65

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Solution

The fourth proportional to 13,007.86, 19,511.65 and 6,764.65 is: 10,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.86 : 19,511.65 = 6,764.65 : x
  2. Step 2: Convert to fraction form
    13,007.86/19,511.65 = 6,764.65/x
  3. Step 3: Cross multiply
    13,007.86x = 19,511.65 × 6,764.65
  4. Step 4: Simplify right side
    13,007.86x = 131,989,483.17
  5. Step 5: Solve for x
    x = 131,989,483.17/13,007.86
  6. Step 6: Final answer
    x = 10,146.90

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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.