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Finding the Fourth Proportional to 8,420.34, 11,625.04 and 7,486.25

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Solution

The fourth proportional to 8,420.34, 11,625.04 and 7,486.25 is: 10,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.34 : 11,625.04 = 7,486.25 : x
  2. Step 2: Convert to fraction form
    8,420.34/11,625.04 = 7,486.25/x
  3. Step 3: Cross multiply
    8,420.34x = 11,625.04 × 7,486.25
  4. Step 4: Simplify right side
    8,420.34x = 87,027,955.70
  5. Step 5: Solve for x
    x = 87,027,955.70/8,420.34
  6. Step 6: Final answer
    x = 10,335.44

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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.