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Finding the Fourth Proportional to 5,141.64, 7,096.80 and 2,904.80

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Solution

The fourth proportional to 5,141.64, 7,096.80 and 2,904.80 is: 4,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.64 : 7,096.80 = 2,904.80 : x
  2. Step 2: Convert to fraction form
    5,141.64/7,096.80 = 2,904.80/x
  3. Step 3: Cross multiply
    5,141.64x = 7,096.80 × 2,904.80
  4. Step 4: Simplify right side
    5,141.64x = 20,614,784.64
  5. Step 5: Solve for x
    x = 20,614,784.64/5,141.64
  6. Step 6: Final answer
    x = 4,009.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.