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Finding the Fourth Proportional to 12,702.77, 19,055.14 and 3,817.41

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Solution

The fourth proportional to 12,702.77, 19,055.14 and 3,817.41 is: 5,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.77 : 19,055.14 = 3,817.41 : x
  2. Step 2: Convert to fraction form
    12,702.77/19,055.14 = 3,817.41/x
  3. Step 3: Cross multiply
    12,702.77x = 19,055.14 × 3,817.41
  4. Step 4: Simplify right side
    12,702.77x = 72,741,186.71
  5. Step 5: Solve for x
    x = 72,741,186.71/12,702.77
  6. Step 6: Final answer
    x = 5,726.40

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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.