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Finding the Fourth Proportional to 6,447.68, 8,902.80 and 4,953.20

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Solution

The fourth proportional to 6,447.68, 8,902.80 and 4,953.20 is: 6,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.68 : 8,902.80 = 4,953.20 : x
  2. Step 2: Convert to fraction form
    6,447.68/8,902.80 = 4,953.20/x
  3. Step 3: Cross multiply
    6,447.68x = 8,902.80 × 4,953.20
  4. Step 4: Simplify right side
    6,447.68x = 44,097,348.96
  5. Step 5: Solve for x
    x = 44,097,348.96/6,447.68
  6. Step 6: Final answer
    x = 6,839.26

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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.