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Finding the Fourth Proportional to 30,649.83, 45,973.80 and 8,464.56

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Solution

The fourth proportional to 30,649.83, 45,973.80 and 8,464.56 is: 12,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.83 : 45,973.80 = 8,464.56 : x
  2. Step 2: Convert to fraction form
    30,649.83/45,973.80 = 8,464.56/x
  3. Step 3: Cross multiply
    30,649.83x = 45,973.80 × 8,464.56
  4. Step 4: Simplify right side
    30,649.83x = 389,147,988.53
  5. Step 5: Solve for x
    x = 389,147,988.53/30,649.83
  6. Step 6: Final answer
    x = 12,696.58

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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.