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Finding the Fourth Proportional to 30,630.25, 45,947.99 and 8,443.64

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Solution

The fourth proportional to 30,630.25, 45,947.99 and 8,443.64 is: 12,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,630.25 : 45,947.99 = 8,443.64 : x
  2. Step 2: Convert to fraction form
    30,630.25/45,947.99 = 8,443.64/x
  3. Step 3: Cross multiply
    30,630.25x = 45,947.99 × 8,443.64
  4. Step 4: Simplify right side
    30,630.25x = 387,968,422.26
  5. Step 5: Solve for x
    x = 387,968,422.26/30,630.25
  6. Step 6: Final answer
    x = 12,666.18

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1.5x scale

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.