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Finding the Fourth Proportional to 12,805, 19,176.54 and 6,214.84

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Solution

The fourth proportional to 12,805, 19,176.54 and 6,214.84 is: 9,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805 : 19,176.54 = 6,214.84 : x
  2. Step 2: Convert to fraction form
    12,805/19,176.54 = 6,214.84/x
  3. Step 3: Cross multiply
    12,805x = 19,176.54 × 6,214.84
  4. Step 4: Simplify right side
    12,805x = 119,179,127.85
  5. Step 5: Solve for x
    x = 119,179,127.85/12,805
  6. Step 6: Final answer
    x = 9,307.23

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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.