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Finding the Fourth Proportional to 5,707.62, 7,877.88 and 3,914.28

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Solution

The fourth proportional to 5,707.62, 7,877.88 and 3,914.28 is: 5,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.62 : 7,877.88 = 3,914.28 : x
  2. Step 2: Convert to fraction form
    5,707.62/7,877.88 = 3,914.28/x
  3. Step 3: Cross multiply
    5,707.62x = 7,877.88 × 3,914.28
  4. Step 4: Simplify right side
    5,707.62x = 30,836,228.13
  5. Step 5: Solve for x
    x = 30,836,228.13/5,707.62
  6. Step 6: Final answer
    x = 5,402.64

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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.