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Finding the Fourth Proportional to 3,397.60, 5,097.36 and 1,057.60

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Solution

The fourth proportional to 3,397.60, 5,097.36 and 1,057.60 is: 1,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.60 : 5,097.36 = 1,057.60 : x
  2. Step 2: Convert to fraction form
    3,397.60/5,097.36 = 1,057.60/x
  3. Step 3: Cross multiply
    3,397.60x = 5,097.36 × 1,057.60
  4. Step 4: Simplify right side
    3,397.60x = 5,390,967.94
  5. Step 5: Solve for x
    x = 5,390,967.94/3,397.60
  6. Step 6: Final answer
    x = 1,586.70

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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.