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Finding the Fourth Proportional to 6,447.64, 8,902.76 and 4,953.20

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Solution

The fourth proportional to 6,447.64, 8,902.76 and 4,953.20 is: 6,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.64 : 8,902.76 = 4,953.20 : x
  2. Step 2: Convert to fraction form
    6,447.64/8,902.76 = 4,953.20/x
  3. Step 3: Cross multiply
    6,447.64x = 8,902.76 × 4,953.20
  4. Step 4: Simplify right side
    6,447.64x = 44,097,150.83
  5. Step 5: Solve for x
    x = 44,097,150.83/6,447.64
  6. Step 6: Final answer
    x = 6,839.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.