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Finding the Fourth Proportional to 12,698.29, 19,041.90 and 3,931.16

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Solution

The fourth proportional to 12,698.29, 19,041.90 and 3,931.16 is: 5,895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.29 : 19,041.90 = 3,931.16 : x
  2. Step 2: Convert to fraction form
    12,698.29/19,041.90 = 3,931.16/x
  3. Step 3: Cross multiply
    12,698.29x = 19,041.90 × 3,931.16
  4. Step 4: Simplify right side
    12,698.29x = 74,856,755.60
  5. Step 5: Solve for x
    x = 74,856,755.60/12,698.29
  6. Step 6: Final answer
    x = 5,895.03

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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.