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Finding the Fourth Proportional to 12,969.40, 19,441.92 and 9,802

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Solution

The fourth proportional to 12,969.40, 19,441.92 and 9,802 is: 14,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.40 : 19,441.92 = 9,802 : x
  2. Step 2: Convert to fraction form
    12,969.40/19,441.92 = 9,802/x
  3. Step 3: Cross multiply
    12,969.40x = 19,441.92 × 9,802
  4. Step 4: Simplify right side
    12,969.40x = 190,569,699.84
  5. Step 5: Solve for x
    x = 190,569,699.84/12,969.40
  6. Step 6: Final answer
    x = 14,693.79

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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.