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Finding the Fourth Proportional to 12,649.32, 18,969.93 and 5,984.91

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Solution

The fourth proportional to 12,649.32, 18,969.93 and 5,984.91 is: 8,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.32 : 18,969.93 = 5,984.91 : x
  2. Step 2: Convert to fraction form
    12,649.32/18,969.93 = 5,984.91/x
  3. Step 3: Cross multiply
    12,649.32x = 18,969.93 × 5,984.91
  4. Step 4: Simplify right side
    12,649.32x = 113,533,323.76
  5. Step 5: Solve for x
    x = 113,533,323.76/12,649.32
  6. Step 6: Final answer
    x = 8,975.45

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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.