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Finding the Fourth Proportional to 12,846.65, 19,262.67 and 7,656.17

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Solution

The fourth proportional to 12,846.65, 19,262.67 and 7,656.17 is: 11,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.65 : 19,262.67 = 7,656.17 : x
  2. Step 2: Convert to fraction form
    12,846.65/19,262.67 = 7,656.17/x
  3. Step 3: Cross multiply
    12,846.65x = 19,262.67 × 7,656.17
  4. Step 4: Simplify right side
    12,846.65x = 147,478,179.86
  5. Step 5: Solve for x
    x = 147,478,179.86/12,846.65
  6. Step 6: Final answer
    x = 11,479.90

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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.