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Finding the Fourth Proportional to 12,806.73, 19,210.10 and 4,047.80

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Solution

The fourth proportional to 12,806.73, 19,210.10 and 4,047.80 is: 6,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.73 : 19,210.10 = 4,047.80 : x
  2. Step 2: Convert to fraction form
    12,806.73/19,210.10 = 4,047.80/x
  3. Step 3: Cross multiply
    12,806.73x = 19,210.10 × 4,047.80
  4. Step 4: Simplify right side
    12,806.73x = 77,758,526.49
  5. Step 5: Solve for x
    x = 77,758,526.49/12,806.73
  6. Step 6: Final answer
    x = 6,071.69

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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.