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Finding the Fourth Proportional to 21,992.52, 32,984.16 and 7,762.92

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Solution

The fourth proportional to 21,992.52, 32,984.16 and 7,762.92 is: 11,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992.52 : 32,984.16 = 7,762.92 : x
  2. Step 2: Convert to fraction form
    21,992.52/32,984.16 = 7,762.92/x
  3. Step 3: Cross multiply
    21,992.52x = 32,984.16 × 7,762.92
  4. Step 4: Simplify right side
    21,992.52x = 256,053,395.35
  5. Step 5: Solve for x
    x = 256,053,395.35/21,992.52
  6. Step 6: Final answer
    x = 11,642.75

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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.