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Finding the Fourth Proportional to 12,329.80, 18,502.60 and 4,538

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Solution

The fourth proportional to 12,329.80, 18,502.60 and 4,538 is: 6,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.80 : 18,502.60 = 4,538 : x
  2. Step 2: Convert to fraction form
    12,329.80/18,502.60 = 4,538/x
  3. Step 3: Cross multiply
    12,329.80x = 18,502.60 × 4,538
  4. Step 4: Simplify right side
    12,329.80x = 83,964,798.80
  5. Step 5: Solve for x
    x = 83,964,798.80/12,329.80
  6. Step 6: Final answer
    x = 6,809.91

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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.