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Finding the Fourth Proportional to 21,802.77, 32,709.62 and 8,650.80

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Solution

The fourth proportional to 21,802.77, 32,709.62 and 8,650.80 is: 12,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.77 : 32,709.62 = 8,650.80 : x
  2. Step 2: Convert to fraction form
    21,802.77/32,709.62 = 8,650.80/x
  3. Step 3: Cross multiply
    21,802.77x = 32,709.62 × 8,650.80
  4. Step 4: Simplify right side
    21,802.77x = 282,964,402.32
  5. Step 5: Solve for x
    x = 282,964,402.32/21,802.77
  6. Step 6: Final answer
    x = 12,978.37

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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.