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Finding the Fourth Proportional to 6,432, 9,629.28 and 4,577.28

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Solution

The fourth proportional to 6,432, 9,629.28 and 4,577.28 is: 6,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432 : 9,629.28 = 4,577.28 : x
  2. Step 2: Convert to fraction form
    6,432/9,629.28 = 4,577.28/x
  3. Step 3: Cross multiply
    6,432x = 9,629.28 × 4,577.28
  4. Step 4: Simplify right side
    6,432x = 44,075,910.76
  5. Step 5: Solve for x
    x = 44,075,910.76/6,432
  6. Step 6: Final answer
    x = 6,852.60

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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.