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Finding the Fourth Proportional to 21,782.01, 32,655.43 and 8,448.13

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Solution

The fourth proportional to 21,782.01, 32,655.43 and 8,448.13 is: 12,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.01 : 32,655.43 = 8,448.13 : x
  2. Step 2: Convert to fraction form
    21,782.01/32,655.43 = 8,448.13/x
  3. Step 3: Cross multiply
    21,782.01x = 32,655.43 × 8,448.13
  4. Step 4: Simplify right side
    21,782.01x = 275,877,271.70
  5. Step 5: Solve for x
    x = 275,877,271.70/21,782.01
  6. Step 6: Final answer
    x = 12,665.37

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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.