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Finding the Fourth Proportional to 12,566, 18,857.64 and 4,358

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Solution

The fourth proportional to 12,566, 18,857.64 and 4,358 is: 6,540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566 : 18,857.64 = 4,358 : x
  2. Step 2: Convert to fraction form
    12,566/18,857.64 = 4,358/x
  3. Step 3: Cross multiply
    12,566x = 18,857.64 × 4,358
  4. Step 4: Simplify right side
    12,566x = 82,181,595.12
  5. Step 5: Solve for x
    x = 82,181,595.12/12,566
  6. Step 6: Final answer
    x = 6,540.00

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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.