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Finding the Fourth Proportional to 30,530.40, 45,698.40 and 21,782.40

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Solution

The fourth proportional to 30,530.40, 45,698.40 and 21,782.40 is: 32,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.40 : 45,698.40 = 21,782.40 : x
  2. Step 2: Convert to fraction form
    30,530.40/45,698.40 = 21,782.40/x
  3. Step 3: Cross multiply
    30,530.40x = 45,698.40 × 21,782.40
  4. Step 4: Simplify right side
    30,530.40x = 995,420,828.16
  5. Step 5: Solve for x
    x = 995,420,828.16/30,530.40
  6. Step 6: Final answer
    x = 32,604.25

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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.