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Finding the Fourth Proportional to 13,041.60, 18,000 and 8,566.08

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Solution

The fourth proportional to 13,041.60, 18,000 and 8,566.08 is: 11,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041.60 : 18,000 = 8,566.08 : x
  2. Step 2: Convert to fraction form
    13,041.60/18,000 = 8,566.08/x
  3. Step 3: Cross multiply
    13,041.60x = 18,000 × 8,566.08
  4. Step 4: Simplify right side
    13,041.60x = 154,189,440
  5. Step 5: Solve for x
    x = 154,189,440/13,041.60
  6. Step 6: Final answer
    x = 11,822.89

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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.