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Finding the Fourth Proportional to 14,643, 21,921.42 and 9,078.48

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Solution

The fourth proportional to 14,643, 21,921.42 and 9,078.48 is: 13,591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643 : 21,921.42 = 9,078.48 : x
  2. Step 2: Convert to fraction form
    14,643/21,921.42 = 9,078.48/x
  3. Step 3: Cross multiply
    14,643x = 21,921.42 × 9,078.48
  4. Step 4: Simplify right side
    14,643x = 199,013,173.04
  5. Step 5: Solve for x
    x = 199,013,173.04/14,643
  6. Step 6: Final answer
    x = 13,591.01

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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.