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Finding the Fourth Proportional to 18,802.76, 25,947.81 and 10,419.26

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Solution

The fourth proportional to 18,802.76, 25,947.81 and 10,419.26 is: 14,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,802.76 : 25,947.81 = 10,419.26 : x
  2. Step 2: Convert to fraction form
    18,802.76/25,947.81 = 10,419.26/x
  3. Step 3: Cross multiply
    18,802.76x = 25,947.81 × 10,419.26
  4. Step 4: Simplify right side
    18,802.76x = 270,356,849.08
  5. Step 5: Solve for x
    x = 270,356,849.08/18,802.76
  6. Step 6: Final answer
    x = 14,378.58

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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.