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Finding the Fourth Proportional to 10,387.84, 15,577.60 and 4,912

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Solution

The fourth proportional to 10,387.84, 15,577.60 and 4,912 is: 7,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.84 : 15,577.60 = 4,912 : x
  2. Step 2: Convert to fraction form
    10,387.84/15,577.60 = 4,912/x
  3. Step 3: Cross multiply
    10,387.84x = 15,577.60 × 4,912
  4. Step 4: Simplify right side
    10,387.84x = 76,517,171.20
  5. Step 5: Solve for x
    x = 76,517,171.20/10,387.84
  6. Step 6: Final answer
    x = 7,366.03

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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.