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Finding the Fourth Proportional to 5,505.60, 8,258.40 and 5,138.40

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Solution

The fourth proportional to 5,505.60, 8,258.40 and 5,138.40 is: 7,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.60 : 8,258.40 = 5,138.40 : x
  2. Step 2: Convert to fraction form
    5,505.60/8,258.40 = 5,138.40/x
  3. Step 3: Cross multiply
    5,505.60x = 8,258.40 × 5,138.40
  4. Step 4: Simplify right side
    5,505.60x = 42,434,962.56
  5. Step 5: Solve for x
    x = 42,434,962.56/5,505.60
  6. Step 6: Final answer
    x = 7,707.60

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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.