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Finding the Fourth Proportional to 8,599, 12,893.40 and 3,666.12

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Solution

The fourth proportional to 8,599, 12,893.40 and 3,666.12 is: 5,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599 : 12,893.40 = 3,666.12 : x
  2. Step 2: Convert to fraction form
    8,599/12,893.40 = 3,666.12/x
  3. Step 3: Cross multiply
    8,599x = 12,893.40 × 3,666.12
  4. Step 4: Simplify right side
    8,599x = 47,268,751.61
  5. Step 5: Solve for x
    x = 47,268,751.61/8,599
  6. Step 6: Final answer
    x = 5,497.01

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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.