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Finding the Fourth Proportional to 5,708.64, 7,878.96 and 3,318.95

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Solution

The fourth proportional to 5,708.64, 7,878.96 and 3,318.95 is: 4,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.64 : 7,878.96 = 3,318.95 : x
  2. Step 2: Convert to fraction form
    5,708.64/7,878.96 = 3,318.95/x
  3. Step 3: Cross multiply
    5,708.64x = 7,878.96 × 3,318.95
  4. Step 4: Simplify right side
    5,708.64x = 26,149,834.90
  5. Step 5: Solve for x
    x = 26,149,834.90/5,708.64
  6. Step 6: Final answer
    x = 4,580.75

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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.