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Finding the Fourth Proportional to 12,727.62, 17,572.86 and 9,738.24

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Solution

The fourth proportional to 12,727.62, 17,572.86 and 9,738.24 is: 13,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.62 : 17,572.86 = 9,738.24 : x
  2. Step 2: Convert to fraction form
    12,727.62/17,572.86 = 9,738.24/x
  3. Step 3: Cross multiply
    12,727.62x = 17,572.86 × 9,738.24
  4. Step 4: Simplify right side
    12,727.62x = 171,128,728.17
  5. Step 5: Solve for x
    x = 171,128,728.17/12,727.62
  6. Step 6: Final answer
    x = 13,445.46

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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.