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Finding the Fourth Proportional to 8,153.20, 12,235.20 and 4,643.20

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Solution

The fourth proportional to 8,153.20, 12,235.20 and 4,643.20 is: 6,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.20 : 12,235.20 = 4,643.20 : x
  2. Step 2: Convert to fraction form
    8,153.20/12,235.20 = 4,643.20/x
  3. Step 3: Cross multiply
    8,153.20x = 12,235.20 × 4,643.20
  4. Step 4: Simplify right side
    8,153.20x = 56,810,480.64
  5. Step 5: Solve for x
    x = 56,810,480.64/8,153.20
  6. Step 6: Final answer
    x = 6,967.88

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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.