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Finding the Fourth Proportional to 7,156.00, 10,733.78 and 2,939.10

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Solution

The fourth proportional to 7,156.00, 10,733.78 and 2,939.10 is: 4,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.00 : 10,733.78 = 2,939.10 : x
  2. Step 2: Convert to fraction form
    7,156.00/10,733.78 = 2,939.10/x
  3. Step 3: Cross multiply
    7,156.00x = 10,733.78 × 2,939.10
  4. Step 4: Simplify right side
    7,156.00x = 31,547,709.11
  5. Step 5: Solve for x
    x = 31,547,709.11/7,156.00
  6. Step 6: Final answer
    x = 4,408.57

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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.