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Finding the Fourth Proportional to 10,863.93, 14,992.43 and 7,089.51

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Solution

The fourth proportional to 10,863.93, 14,992.43 and 7,089.51 is: 9,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.93 : 14,992.43 = 7,089.51 : x
  2. Step 2: Convert to fraction form
    10,863.93/14,992.43 = 7,089.51/x
  3. Step 3: Cross multiply
    10,863.93x = 14,992.43 × 7,089.51
  4. Step 4: Simplify right side
    10,863.93x = 106,288,930.62
  5. Step 5: Solve for x
    x = 106,288,930.62/10,863.93
  6. Step 6: Final answer
    x = 9,783.66

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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.