Home / 5,009-7,509.36-2,089.40

Finding the Fourth Proportional to 5,009, 7,509.36 and 2,089.40

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Solution

The fourth proportional to 5,009, 7,509.36 and 2,089.40 is: 3,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009 : 7,509.36 = 2,089.40 : x
  2. Step 2: Convert to fraction form
    5,009/7,509.36 = 2,089.40/x
  3. Step 3: Cross multiply
    5,009x = 7,509.36 × 2,089.40
  4. Step 4: Simplify right side
    5,009x = 15,690,056.78
  5. Step 5: Solve for x
    x = 15,690,056.78/5,009
  6. Step 6: Final answer
    x = 3,132.37

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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.