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Finding the Fourth Proportional to 8,281.58, 12,421.28 and 3,663.50

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Solution

The fourth proportional to 8,281.58, 12,421.28 and 3,663.50 is: 5,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.58 : 12,421.28 = 3,663.50 : x
  2. Step 2: Convert to fraction form
    8,281.58/12,421.28 = 3,663.50/x
  3. Step 3: Cross multiply
    8,281.58x = 12,421.28 × 3,663.50
  4. Step 4: Simplify right side
    8,281.58x = 45,505,359.28
  5. Step 5: Solve for x
    x = 45,505,359.28/8,281.58
  6. Step 6: Final answer
    x = 5,494.77

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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.