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Finding the Fourth Proportional to 6,347.68, 8,759.52 and 3,830.40

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Solution

The fourth proportional to 6,347.68, 8,759.52 and 3,830.40 is: 5,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.68 : 8,759.52 = 3,830.40 : x
  2. Step 2: Convert to fraction form
    6,347.68/8,759.52 = 3,830.40/x
  3. Step 3: Cross multiply
    6,347.68x = 8,759.52 × 3,830.40
  4. Step 4: Simplify right side
    6,347.68x = 33,552,465.41
  5. Step 5: Solve for x
    x = 33,552,465.41/6,347.68
  6. Step 6: Final answer
    x = 5,285.78

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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.