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Finding the Fourth Proportional to 10,725.60, 16,131.60 and 9,602.40

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Solution

The fourth proportional to 10,725.60, 16,131.60 and 9,602.40 is: 14,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.60 : 16,131.60 = 9,602.40 : x
  2. Step 2: Convert to fraction form
    10,725.60/16,131.60 = 9,602.40/x
  3. Step 3: Cross multiply
    10,725.60x = 16,131.60 × 9,602.40
  4. Step 4: Simplify right side
    10,725.60x = 154,902,075.84
  5. Step 5: Solve for x
    x = 154,902,075.84/10,725.60
  6. Step 6: Final answer
    x = 14,442.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.