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Finding the Fourth Proportional to 3,750.04, 5,625.06 and 1,441

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Solution

The fourth proportional to 3,750.04, 5,625.06 and 1,441 is: 2,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.04 : 5,625.06 = 1,441 : x
  2. Step 2: Convert to fraction form
    3,750.04/5,625.06 = 1,441/x
  3. Step 3: Cross multiply
    3,750.04x = 5,625.06 × 1,441
  4. Step 4: Simplify right side
    3,750.04x = 8,105,711.46
  5. Step 5: Solve for x
    x = 8,105,711.46/3,750.04
  6. Step 6: Final answer
    x = 2,161.50

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1.5x scale

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.