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Finding the Fourth Proportional to 10,415.10, 15,619.71 and 3,750.63

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Solution

The fourth proportional to 10,415.10, 15,619.71 and 3,750.63 is: 5,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.10 : 15,619.71 = 3,750.63 : x
  2. Step 2: Convert to fraction form
    10,415.10/15,619.71 = 3,750.63/x
  3. Step 3: Cross multiply
    10,415.10x = 15,619.71 × 3,750.63
  4. Step 4: Simplify right side
    10,415.10x = 58,583,752.92
  5. Step 5: Solve for x
    x = 58,583,752.92/10,415.10
  6. Step 6: Final answer
    x = 5,624.89

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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.