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Finding the Fourth Proportional to 5,241.28, 7,870.28 and 3,051.60

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Solution

The fourth proportional to 5,241.28, 7,870.28 and 3,051.60 is: 4,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.28 : 7,870.28 = 3,051.60 : x
  2. Step 2: Convert to fraction form
    5,241.28/7,870.28 = 3,051.60/x
  3. Step 3: Cross multiply
    5,241.28x = 7,870.28 × 3,051.60
  4. Step 4: Simplify right side
    5,241.28x = 24,016,946.45
  5. Step 5: Solve for x
    x = 24,016,946.45/5,241.28
  6. Step 6: Final answer
    x = 4,582.27

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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.