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Finding the Fourth Proportional to 6,272.78, 9,409.80 and 1,655.78

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Solution

The fourth proportional to 6,272.78, 9,409.80 and 1,655.78 is: 2,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.78 : 9,409.80 = 1,655.78 : x
  2. Step 2: Convert to fraction form
    6,272.78/9,409.80 = 1,655.78/x
  3. Step 3: Cross multiply
    6,272.78x = 9,409.80 × 1,655.78
  4. Step 4: Simplify right side
    6,272.78x = 15,580,558.64
  5. Step 5: Solve for x
    x = 15,580,558.64/6,272.78
  6. Step 6: Final answer
    x = 2,483.84

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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.