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Finding the Fourth Proportional to 10,415.77, 15,624.65 and 2,919.33

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Solution

The fourth proportional to 10,415.77, 15,624.65 and 2,919.33 is: 4,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.77 : 15,624.65 = 2,919.33 : x
  2. Step 2: Convert to fraction form
    10,415.77/15,624.65 = 2,919.33/x
  3. Step 3: Cross multiply
    10,415.77x = 15,624.65 × 2,919.33
  4. Step 4: Simplify right side
    10,415.77x = 45,613,516.78
  5. Step 5: Solve for x
    x = 45,613,516.78/10,415.77
  6. Step 6: Final answer
    x = 4,379.28

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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.