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Finding the Fourth Proportional to 3,200.40, 4,802.40 and 2,505.06

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Solution

The fourth proportional to 3,200.40, 4,802.40 and 2,505.06 is: 3,759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.40 : 4,802.40 = 2,505.06 : x
  2. Step 2: Convert to fraction form
    3,200.40/4,802.40 = 2,505.06/x
  3. Step 3: Cross multiply
    3,200.40x = 4,802.40 × 2,505.06
  4. Step 4: Simplify right side
    3,200.40x = 12,030,300.14
  5. Step 5: Solve for x
    x = 12,030,300.14/3,200.40
  6. Step 6: Final answer
    x = 3,759.00

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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.