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Finding the Fourth Proportional to 30,643.20, 45,969.12 and 9,864

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Solution

The fourth proportional to 30,643.20, 45,969.12 and 9,864 is: 14,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.20 : 45,969.12 = 9,864 : x
  2. Step 2: Convert to fraction form
    30,643.20/45,969.12 = 9,864/x
  3. Step 3: Cross multiply
    30,643.20x = 45,969.12 × 9,864
  4. Step 4: Simplify right side
    30,643.20x = 453,439,399.68
  5. Step 5: Solve for x
    x = 453,439,399.68/30,643.20
  6. Step 6: Final answer
    x = 14,797.39

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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.