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Finding the Fourth Proportional to 30,649.56, 45,973.40 and 8,464.28

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Solution

The fourth proportional to 30,649.56, 45,973.40 and 8,464.28 is: 12,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.56 : 45,973.40 = 8,464.28 : x
  2. Step 2: Convert to fraction form
    30,649.56/45,973.40 = 8,464.28/x
  3. Step 3: Cross multiply
    30,649.56x = 45,973.40 × 8,464.28
  4. Step 4: Simplify right side
    30,649.56x = 389,131,730.15
  5. Step 5: Solve for x
    x = 389,131,730.15/30,649.56
  6. Step 6: Final answer
    x = 12,696.16

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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.