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Finding the Fourth Proportional to 12,698.95, 17,513.85 and 9,519.68

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Solution

The fourth proportional to 12,698.95, 17,513.85 and 9,519.68 is: 13,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.95 : 17,513.85 = 9,519.68 : x
  2. Step 2: Convert to fraction form
    12,698.95/17,513.85 = 9,519.68/x
  3. Step 3: Cross multiply
    12,698.95x = 17,513.85 × 9,519.68
  4. Step 4: Simplify right side
    12,698.95x = 166,726,148.21
  5. Step 5: Solve for x
    x = 166,726,148.21/12,698.95
  6. Step 6: Final answer
    x = 13,129.13

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1.5x scale

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.