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Finding the Fourth Proportional to 12,369.66, 18,549.93 and 8,670

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Solution

The fourth proportional to 12,369.66, 18,549.93 and 8,670 is: 13,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.66 : 18,549.93 = 8,670 : x
  2. Step 2: Convert to fraction form
    12,369.66/18,549.93 = 8,670/x
  3. Step 3: Cross multiply
    12,369.66x = 18,549.93 × 8,670
  4. Step 4: Simplify right side
    12,369.66x = 160,827,893.10
  5. Step 5: Solve for x
    x = 160,827,893.10/12,369.66
  6. Step 6: Final answer
    x = 13,001.80

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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.