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Finding the Fourth Proportional to 4,492.80, 6,739.20 and 4,204.80

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Solution

The fourth proportional to 4,492.80, 6,739.20 and 4,204.80 is: 6,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.80 : 6,739.20 = 4,204.80 : x
  2. Step 2: Convert to fraction form
    4,492.80/6,739.20 = 4,204.80/x
  3. Step 3: Cross multiply
    4,492.80x = 6,739.20 × 4,204.80
  4. Step 4: Simplify right side
    4,492.80x = 28,336,988.16
  5. Step 5: Solve for x
    x = 28,336,988.16/4,492.80
  6. Step 6: Final answer
    x = 6,307.20

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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.