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Finding the Fourth Proportional to 12,992.64, 17,927.24 and 7,688.32

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Solution

The fourth proportional to 12,992.64, 17,927.24 and 7,688.32 is: 10,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.64 : 17,927.24 = 7,688.32 : x
  2. Step 2: Convert to fraction form
    12,992.64/17,927.24 = 7,688.32/x
  3. Step 3: Cross multiply
    12,992.64x = 17,927.24 × 7,688.32
  4. Step 4: Simplify right side
    12,992.64x = 137,830,357.84
  5. Step 5: Solve for x
    x = 137,830,357.84/12,992.64
  6. Step 6: Final answer
    x = 10,608.34

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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.