Home / 20,975.04-31,468-7,827.50

Finding the Fourth Proportional to 20,975.04, 31,468 and 7,827.50

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Solution

The fourth proportional to 20,975.04, 31,468 and 7,827.50 is: 11,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975.04 : 31,468 = 7,827.50 : x
  2. Step 2: Convert to fraction form
    20,975.04/31,468 = 7,827.50/x
  3. Step 3: Cross multiply
    20,975.04x = 31,468 × 7,827.50
  4. Step 4: Simplify right side
    20,975.04x = 246,315,770
  5. Step 5: Solve for x
    x = 246,315,770/20,975.04
  6. Step 6: Final answer
    x = 11,743.28

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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.