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Finding the Fourth Proportional to 8,037.50, 12,056.25 and 3,420.50

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Solution

The fourth proportional to 8,037.50, 12,056.25 and 3,420.50 is: 5,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.50 : 12,056.25 = 3,420.50 : x
  2. Step 2: Convert to fraction form
    8,037.50/12,056.25 = 3,420.50/x
  3. Step 3: Cross multiply
    8,037.50x = 12,056.25 × 3,420.50
  4. Step 4: Simplify right side
    8,037.50x = 41,238,403.13
  5. Step 5: Solve for x
    x = 41,238,403.13/8,037.50
  6. Step 6: Final answer
    x = 5,130.75

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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.