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Finding the Fourth Proportional to 5,076.40, 6,978.50 and 4,365.64

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Solution

The fourth proportional to 5,076.40, 6,978.50 and 4,365.64 is: 6,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.40 : 6,978.50 = 4,365.64 : x
  2. Step 2: Convert to fraction form
    5,076.40/6,978.50 = 4,365.64/x
  3. Step 3: Cross multiply
    5,076.40x = 6,978.50 × 4,365.64
  4. Step 4: Simplify right side
    5,076.40x = 30,465,618.74
  5. Step 5: Solve for x
    x = 30,465,618.74/5,076.40
  6. Step 6: Final answer
    x = 6,001.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.