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Finding the Fourth Proportional to 3,655.78, 5,478.54 and 2,830.28

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Solution

The fourth proportional to 3,655.78, 5,478.54 and 2,830.28 is: 4,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.78 : 5,478.54 = 2,830.28 : x
  2. Step 2: Convert to fraction form
    3,655.78/5,478.54 = 2,830.28/x
  3. Step 3: Cross multiply
    3,655.78x = 5,478.54 × 2,830.28
  4. Step 4: Simplify right side
    3,655.78x = 15,505,802.19
  5. Step 5: Solve for x
    x = 15,505,802.19/3,655.78
  6. Step 6: Final answer
    x = 4,241.45

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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.