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Finding the Fourth Proportional to 13,087, 19,636.80 and 6,513.76

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Solution

The fourth proportional to 13,087, 19,636.80 and 6,513.76 is: 9,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,087 : 19,636.80 = 6,513.76 : x
  2. Step 2: Convert to fraction form
    13,087/19,636.80 = 6,513.76/x
  3. Step 3: Cross multiply
    13,087x = 19,636.80 × 6,513.76
  4. Step 4: Simplify right side
    13,087x = 127,909,402.37
  5. Step 5: Solve for x
    x = 127,909,402.37/13,087
  6. Step 6: Final answer
    x = 9,773.78

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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.