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Finding the Fourth Proportional to 12,129.62, 16,743.30 and 7,656.31

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Solution

The fourth proportional to 12,129.62, 16,743.30 and 7,656.31 is: 10,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.62 : 16,743.30 = 7,656.31 : x
  2. Step 2: Convert to fraction form
    12,129.62/16,743.30 = 7,656.31/x
  3. Step 3: Cross multiply
    12,129.62x = 16,743.30 × 7,656.31
  4. Step 4: Simplify right side
    12,129.62x = 128,191,811.51
  5. Step 5: Solve for x
    x = 128,191,811.51/12,129.62
  6. Step 6: Final answer
    x = 10,568.49

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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.