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Finding the Fourth Proportional to 8,977.68, 13,467 and 3,430

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Solution

The fourth proportional to 8,977.68, 13,467 and 3,430 is: 5,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.68 : 13,467 = 3,430 : x
  2. Step 2: Convert to fraction form
    8,977.68/13,467 = 3,430/x
  3. Step 3: Cross multiply
    8,977.68x = 13,467 × 3,430
  4. Step 4: Simplify right side
    8,977.68x = 46,191,810
  5. Step 5: Solve for x
    x = 46,191,810/8,977.68
  6. Step 6: Final answer
    x = 5,145.18

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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.