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Finding the Fourth Proportional to 8,665, 11,957.64 and 4,686.09

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Solution

The fourth proportional to 8,665, 11,957.64 and 4,686.09 is: 6,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665 : 11,957.64 = 4,686.09 : x
  2. Step 2: Convert to fraction form
    8,665/11,957.64 = 4,686.09/x
  3. Step 3: Cross multiply
    8,665x = 11,957.64 × 4,686.09
  4. Step 4: Simplify right side
    8,665x = 56,034,577.23
  5. Step 5: Solve for x
    x = 56,034,577.23/8,665
  6. Step 6: Final answer
    x = 6,466.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.