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Finding the Fourth Proportional to 12,398.63, 17,103.15 and 7,357.86

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Solution

The fourth proportional to 12,398.63, 17,103.15 and 7,357.86 is: 10,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.63 : 17,103.15 = 7,357.86 : x
  2. Step 2: Convert to fraction form
    12,398.63/17,103.15 = 7,357.86/x
  3. Step 3: Cross multiply
    12,398.63x = 17,103.15 × 7,357.86
  4. Step 4: Simplify right side
    12,398.63x = 125,842,583.26
  5. Step 5: Solve for x
    x = 125,842,583.26/12,398.63
  6. Step 6: Final answer
    x = 10,149.72

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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.