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Finding the Fourth Proportional to 8,607, 12,907.69 and 3,341.64

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Solution

The fourth proportional to 8,607, 12,907.69 and 3,341.64 is: 5,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,607 : 12,907.69 = 3,341.64 : x
  2. Step 2: Convert to fraction form
    8,607/12,907.69 = 3,341.64/x
  3. Step 3: Cross multiply
    8,607x = 12,907.69 × 3,341.64
  4. Step 4: Simplify right side
    8,607x = 43,132,853.21
  5. Step 5: Solve for x
    x = 43,132,853.21/8,607
  6. Step 6: Final answer
    x = 5,011.37

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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.