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Finding the Fourth Proportional to 8,393.20, 12,583.80 and 4,230.24

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Solution

The fourth proportional to 8,393.20, 12,583.80 and 4,230.24 is: 6,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.20 : 12,583.80 = 4,230.24 : x
  2. Step 2: Convert to fraction form
    8,393.20/12,583.80 = 4,230.24/x
  3. Step 3: Cross multiply
    8,393.20x = 12,583.80 × 4,230.24
  4. Step 4: Simplify right side
    8,393.20x = 53,232,494.11
  5. Step 5: Solve for x
    x = 53,232,494.11/8,393.20
  6. Step 6: Final answer
    x = 6,342.34

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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.