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Finding the Fourth Proportional to 12,530.86, 17,292.47 and 6,865.54

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Solution

The fourth proportional to 12,530.86, 17,292.47 and 6,865.54 is: 9,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.86 : 17,292.47 = 6,865.54 : x
  2. Step 2: Convert to fraction form
    12,530.86/17,292.47 = 6,865.54/x
  3. Step 3: Cross multiply
    12,530.86x = 17,292.47 × 6,865.54
  4. Step 4: Simplify right side
    12,530.86x = 118,722,066.92
  5. Step 5: Solve for x
    x = 118,722,066.92/12,530.86
  6. Step 6: Final answer
    x = 9,474.38

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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.