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Finding the Fourth Proportional to 8,307.20, 12,493.20 and 7,464.80

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Solution

The fourth proportional to 8,307.20, 12,493.20 and 7,464.80 is: 11,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.20 : 12,493.20 = 7,464.80 : x
  2. Step 2: Convert to fraction form
    8,307.20/12,493.20 = 7,464.80/x
  3. Step 3: Cross multiply
    8,307.20x = 12,493.20 × 7,464.80
  4. Step 4: Simplify right side
    8,307.20x = 93,259,239.36
  5. Step 5: Solve for x
    x = 93,259,239.36/8,307.20
  6. Step 6: Final answer
    x = 11,226.31

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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.