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Finding the Fourth Proportional to 21,868.21, 32,803.04 and 7,077.25

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Solution

The fourth proportional to 21,868.21, 32,803.04 and 7,077.25 is: 10,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,868.21 : 32,803.04 = 7,077.25 : x
  2. Step 2: Convert to fraction form
    21,868.21/32,803.04 = 7,077.25/x
  3. Step 3: Cross multiply
    21,868.21x = 32,803.04 × 7,077.25
  4. Step 4: Simplify right side
    21,868.21x = 232,155,314.84
  5. Step 5: Solve for x
    x = 232,155,314.84/21,868.21
  6. Step 6: Final answer
    x = 10,616.11

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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.