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Finding the Fourth Proportional to 8,304.96, 12,444.47 and 5,220.48

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Solution

The fourth proportional to 8,304.96, 12,444.47 and 5,220.48 is: 7,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.96 : 12,444.47 = 5,220.48 : x
  2. Step 2: Convert to fraction form
    8,304.96/12,444.47 = 5,220.48/x
  3. Step 3: Cross multiply
    8,304.96x = 12,444.47 × 5,220.48
  4. Step 4: Simplify right side
    8,304.96x = 64,966,080.64
  5. Step 5: Solve for x
    x = 64,966,080.64/8,304.96
  6. Step 6: Final answer
    x = 7,822.56

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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.