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Finding the Fourth Proportional to 9,320.94, 12,862.92 and 5,072.00

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Solution

The fourth proportional to 9,320.94, 12,862.92 and 5,072.00 is: 6,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.94 : 12,862.92 = 5,072.00 : x
  2. Step 2: Convert to fraction form
    9,320.94/12,862.92 = 5,072.00/x
  3. Step 3: Cross multiply
    9,320.94x = 12,862.92 × 5,072.00
  4. Step 4: Simplify right side
    9,320.94x = 65,240,712.34
  5. Step 5: Solve for x
    x = 65,240,712.34/9,320.94
  6. Step 6: Final answer
    x = 6,999.37

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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.