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Finding the Fourth Proportional to 8,420.24, 12,604.40 and 4,964.24

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Solution

The fourth proportional to 8,420.24, 12,604.40 and 4,964.24 is: 7,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.24 : 12,604.40 = 4,964.24 : x
  2. Step 2: Convert to fraction form
    8,420.24/12,604.40 = 4,964.24/x
  3. Step 3: Cross multiply
    8,420.24x = 12,604.40 × 4,964.24
  4. Step 4: Simplify right side
    8,420.24x = 62,571,266.66
  5. Step 5: Solve for x
    x = 62,571,266.66/8,420.24
  6. Step 6: Final answer
    x = 7,431.06

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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.