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Finding the Fourth Proportional to 12,359.58, 18,535.72 and 6,513

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Solution

The fourth proportional to 12,359.58, 18,535.72 and 6,513 is: 9,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.58 : 18,535.72 = 6,513 : x
  2. Step 2: Convert to fraction form
    12,359.58/18,535.72 = 6,513/x
  3. Step 3: Cross multiply
    12,359.58x = 18,535.72 × 6,513
  4. Step 4: Simplify right side
    12,359.58x = 120,723,144.36
  5. Step 5: Solve for x
    x = 120,723,144.36/12,359.58
  6. Step 6: Final answer
    x = 9,767.58

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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.