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Finding the Fourth Proportional to 8,302.50, 12,435.12 and 6,448.01

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Solution

The fourth proportional to 8,302.50, 12,435.12 and 6,448.01 is: 9,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.50 : 12,435.12 = 6,448.01 : x
  2. Step 2: Convert to fraction form
    8,302.50/12,435.12 = 6,448.01/x
  3. Step 3: Cross multiply
    8,302.50x = 12,435.12 × 6,448.01
  4. Step 4: Simplify right side
    8,302.50x = 80,181,715.94
  5. Step 5: Solve for x
    x = 80,181,715.94/8,302.50
  6. Step 6: Final answer
    x = 9,657.54

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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.