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Finding the Fourth Proportional to 10,078, 13,907.70 and 5,885.44

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Solution

The fourth proportional to 10,078, 13,907.70 and 5,885.44 is: 8,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078 : 13,907.70 = 5,885.44 : x
  2. Step 2: Convert to fraction form
    10,078/13,907.70 = 5,885.44/x
  3. Step 3: Cross multiply
    10,078x = 13,907.70 × 5,885.44
  4. Step 4: Simplify right side
    10,078x = 81,852,933.89
  5. Step 5: Solve for x
    x = 81,852,933.89/10,078
  6. Step 6: Final answer
    x = 8,121.94

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1.5x scale

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.