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Finding the Fourth Proportional to 3,657.60, 5,486.40 and 2,102.40

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Solution

The fourth proportional to 3,657.60, 5,486.40 and 2,102.40 is: 3,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.60 : 5,486.40 = 2,102.40 : x
  2. Step 2: Convert to fraction form
    3,657.60/5,486.40 = 2,102.40/x
  3. Step 3: Cross multiply
    3,657.60x = 5,486.40 × 2,102.40
  4. Step 4: Simplify right side
    3,657.60x = 11,534,607.36
  5. Step 5: Solve for x
    x = 11,534,607.36/3,657.60
  6. Step 6: Final answer
    x = 3,153.60

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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.