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Finding the Fourth Proportional to 12,690, 19,041.48 and 5,672.16

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Solution

The fourth proportional to 12,690, 19,041.48 and 5,672.16 is: 8,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690 : 19,041.48 = 5,672.16 : x
  2. Step 2: Convert to fraction form
    12,690/19,041.48 = 5,672.16/x
  3. Step 3: Cross multiply
    12,690x = 19,041.48 × 5,672.16
  4. Step 4: Simplify right side
    12,690x = 108,006,321.20
  5. Step 5: Solve for x
    x = 108,006,321.20/12,690
  6. Step 6: Final answer
    x = 8,511.14

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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.