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Finding the Fourth Proportional to 3,809.60, 5,714.40 and 3,701.60

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Solution

The fourth proportional to 3,809.60, 5,714.40 and 3,701.60 is: 5,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.60 : 5,714.40 = 3,701.60 : x
  2. Step 2: Convert to fraction form
    3,809.60/5,714.40 = 3,701.60/x
  3. Step 3: Cross multiply
    3,809.60x = 5,714.40 × 3,701.60
  4. Step 4: Simplify right side
    3,809.60x = 21,152,423.04
  5. Step 5: Solve for x
    x = 21,152,423.04/3,809.60
  6. Step 6: Final answer
    x = 5,552.40

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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.