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Finding the Fourth Proportional to 14,428, 19,910.64 and 7,804

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Solution

The fourth proportional to 14,428, 19,910.64 and 7,804 is: 10,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428 : 19,910.64 = 7,804 : x
  2. Step 2: Convert to fraction form
    14,428/19,910.64 = 7,804/x
  3. Step 3: Cross multiply
    14,428x = 19,910.64 × 7,804
  4. Step 4: Simplify right side
    14,428x = 155,382,634.56
  5. Step 5: Solve for x
    x = 155,382,634.56/14,428
  6. Step 6: Final answer
    x = 10,769.52

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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.