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Finding the Fourth Proportional to 6,347.88, 9,518.78 and 3,642.80

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Solution

The fourth proportional to 6,347.88, 9,518.78 and 3,642.80 is: 5,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.88 : 9,518.78 = 3,642.80 : x
  2. Step 2: Convert to fraction form
    6,347.88/9,518.78 = 3,642.80/x
  3. Step 3: Cross multiply
    6,347.88x = 9,518.78 × 3,642.80
  4. Step 4: Simplify right side
    6,347.88x = 34,674,945.98
  5. Step 5: Solve for x
    x = 34,674,945.98/6,347.88
  6. Step 6: Final answer
    x = 5,462.45

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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.