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Finding the Fourth Proportional to 26,100, 39,155.76 and 9,684

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Solution

The fourth proportional to 26,100, 39,155.76 and 9,684 is: 14,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,100 : 39,155.76 = 9,684 : x
  2. Step 2: Convert to fraction form
    26,100/39,155.76 = 9,684/x
  3. Step 3: Cross multiply
    26,100x = 39,155.76 × 9,684
  4. Step 4: Simplify right side
    26,100x = 379,184,379.84
  5. Step 5: Solve for x
    x = 379,184,379.84/26,100
  6. Step 6: Final answer
    x = 14,528.14

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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.