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Finding the Fourth Proportional to 20,898.50, 31,347.75 and 7,047.50

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Solution

The fourth proportional to 20,898.50, 31,347.75 and 7,047.50 is: 10,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.50 : 31,347.75 = 7,047.50 : x
  2. Step 2: Convert to fraction form
    20,898.50/31,347.75 = 7,047.50/x
  3. Step 3: Cross multiply
    20,898.50x = 31,347.75 × 7,047.50
  4. Step 4: Simplify right side
    20,898.50x = 220,923,268.13
  5. Step 5: Solve for x
    x = 220,923,268.13/20,898.50
  6. Step 6: Final answer
    x = 10,571.25

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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.