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Finding the Fourth Proportional to 21,871.74, 32,807.88 and 6,289.50

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Solution

The fourth proportional to 21,871.74, 32,807.88 and 6,289.50 is: 9,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.74 : 32,807.88 = 6,289.50 : x
  2. Step 2: Convert to fraction form
    21,871.74/32,807.88 = 6,289.50/x
  3. Step 3: Cross multiply
    21,871.74x = 32,807.88 × 6,289.50
  4. Step 4: Simplify right side
    21,871.74x = 206,345,161.26
  5. Step 5: Solve for x
    x = 206,345,161.26/21,871.74
  6. Step 6: Final answer
    x = 9,434.33

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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.