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Finding the Fourth Proportional to 21,851.24, 32,745.80 and 9,975.83

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Solution

The fourth proportional to 21,851.24, 32,745.80 and 9,975.83 is: 14,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.24 : 32,745.80 = 9,975.83 : x
  2. Step 2: Convert to fraction form
    21,851.24/32,745.80 = 9,975.83/x
  3. Step 3: Cross multiply
    21,851.24x = 32,745.80 × 9,975.83
  4. Step 4: Simplify right side
    21,851.24x = 326,666,395.22
  5. Step 5: Solve for x
    x = 326,666,395.22/21,851.24
  6. Step 6: Final answer
    x = 14,949.56

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1.5x scale

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.