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Finding the Fourth Proportional to 8,997.29, 12,428.37 and 8,158.94

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Solution

The fourth proportional to 8,997.29, 12,428.37 and 8,158.94 is: 11,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.29 : 12,428.37 = 8,158.94 : x
  2. Step 2: Convert to fraction form
    8,997.29/12,428.37 = 8,158.94/x
  3. Step 3: Cross multiply
    8,997.29x = 12,428.37 × 8,158.94
  4. Step 4: Simplify right side
    8,997.29x = 101,402,222.19
  5. Step 5: Solve for x
    x = 101,402,222.19/8,997.29
  6. Step 6: Final answer
    x = 11,270.31

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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.