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Finding the Fourth Proportional to 9,992.81, 14,999.09 and 5,312.83

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Solution

The fourth proportional to 9,992.81, 14,999.09 and 5,312.83 is: 7,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.81 : 14,999.09 = 5,312.83 : x
  2. Step 2: Convert to fraction form
    9,992.81/14,999.09 = 5,312.83/x
  3. Step 3: Cross multiply
    9,992.81x = 14,999.09 × 5,312.83
  4. Step 4: Simplify right side
    9,992.81x = 79,687,551.26
  5. Step 5: Solve for x
    x = 79,687,551.26/9,992.81
  6. Step 6: Final answer
    x = 7,974.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.