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Finding the Fourth Proportional to 8,438.40, 11,649.88 and 7,504.14

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Solution

The fourth proportional to 8,438.40, 11,649.88 and 7,504.14 is: 10,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.40 : 11,649.88 = 7,504.14 : x
  2. Step 2: Convert to fraction form
    8,438.40/11,649.88 = 7,504.14/x
  3. Step 3: Cross multiply
    8,438.40x = 11,649.88 × 7,504.14
  4. Step 4: Simplify right side
    8,438.40x = 87,422,341.36
  5. Step 5: Solve for x
    x = 87,422,341.36/8,438.40
  6. Step 6: Final answer
    x = 10,360.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.