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Finding the Fourth Proportional to 12,820.64, 17,692.80 and 7,232

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Solution

The fourth proportional to 12,820.64, 17,692.80 and 7,232 is: 9,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.64 : 17,692.80 = 7,232 : x
  2. Step 2: Convert to fraction form
    12,820.64/17,692.80 = 7,232/x
  3. Step 3: Cross multiply
    12,820.64x = 17,692.80 × 7,232
  4. Step 4: Simplify right side
    12,820.64x = 127,954,329.60
  5. Step 5: Solve for x
    x = 127,954,329.60/12,820.64
  6. Step 6: Final answer
    x = 9,980.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.