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Finding the Fourth Proportional to 10,100.41, 13,941.02 and 5,850.78

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Solution

The fourth proportional to 10,100.41, 13,941.02 and 5,850.78 is: 8,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.41 : 13,941.02 = 5,850.78 : x
  2. Step 2: Convert to fraction form
    10,100.41/13,941.02 = 5,850.78/x
  3. Step 3: Cross multiply
    10,100.41x = 13,941.02 × 5,850.78
  4. Step 4: Simplify right side
    10,100.41x = 81,565,811.74
  5. Step 5: Solve for x
    x = 81,565,811.74/10,100.41
  6. Step 6: Final answer
    x = 8,075.50

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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.