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Finding the Fourth Proportional to 12,324, 18,484.64 and 3,090

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Solution

The fourth proportional to 12,324, 18,484.64 and 3,090 is: 4,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324 : 18,484.64 = 3,090 : x
  2. Step 2: Convert to fraction form
    12,324/18,484.64 = 3,090/x
  3. Step 3: Cross multiply
    12,324x = 18,484.64 × 3,090
  4. Step 4: Simplify right side
    12,324x = 57,117,537.60
  5. Step 5: Solve for x
    x = 57,117,537.60/12,324
  6. Step 6: Final answer
    x = 4,634.66

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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.