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Finding the Fourth Proportional to 12,822.71, 17,695.87 and 7,157.77

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Solution

The fourth proportional to 12,822.71, 17,695.87 and 7,157.77 is: 9,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.71 : 17,695.87 = 7,157.77 : x
  2. Step 2: Convert to fraction form
    12,822.71/17,695.87 = 7,157.77/x
  3. Step 3: Cross multiply
    12,822.71x = 17,695.87 × 7,157.77
  4. Step 4: Simplify right side
    12,822.71x = 126,662,905.28
  5. Step 5: Solve for x
    x = 126,662,905.28/12,822.71
  6. Step 6: Final answer
    x = 9,878.02

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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.