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Finding the Fourth Proportional to 13,769.71, 19,000.83 and 7,800.19

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Solution

The fourth proportional to 13,769.71, 19,000.83 and 7,800.19 is: 10,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.71 : 19,000.83 = 7,800.19 : x
  2. Step 2: Convert to fraction form
    13,769.71/19,000.83 = 7,800.19/x
  3. Step 3: Cross multiply
    13,769.71x = 19,000.83 × 7,800.19
  4. Step 4: Simplify right side
    13,769.71x = 148,210,084.16
  5. Step 5: Solve for x
    x = 148,210,084.16/13,769.71
  6. Step 6: Final answer
    x = 10,763.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.