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Finding the Fourth Proportional to 21,811.22, 32,715.54 and 7,770.51

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Solution

The fourth proportional to 21,811.22, 32,715.54 and 7,770.51 is: 11,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.22 : 32,715.54 = 7,770.51 : x
  2. Step 2: Convert to fraction form
    21,811.22/32,715.54 = 7,770.51/x
  3. Step 3: Cross multiply
    21,811.22x = 32,715.54 × 7,770.51
  4. Step 4: Simplify right side
    21,811.22x = 254,216,364.06
  5. Step 5: Solve for x
    x = 254,216,364.06/21,811.22
  6. Step 6: Final answer
    x = 11,655.30

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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.