Home / 5,209.56-7,816.30-3,102.40

Finding the Fourth Proportional to 5,209.56, 7,816.30 and 3,102.40

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Solution

The fourth proportional to 5,209.56, 7,816.30 and 3,102.40 is: 4,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.56 : 7,816.30 = 3,102.40 : x
  2. Step 2: Convert to fraction form
    5,209.56/7,816.30 = 3,102.40/x
  3. Step 3: Cross multiply
    5,209.56x = 7,816.30 × 3,102.40
  4. Step 4: Simplify right side
    5,209.56x = 24,249,291.13
  5. Step 5: Solve for x
    x = 24,249,291.13/5,209.56
  6. Step 6: Final answer
    x = 4,654.77

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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.