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Finding the Fourth Proportional to 9,731, 13,428.78 and 5,315

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Solution

The fourth proportional to 9,731, 13,428.78 and 5,315 is: 7,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731 : 13,428.78 = 5,315 : x
  2. Step 2: Convert to fraction form
    9,731/13,428.78 = 5,315/x
  3. Step 3: Cross multiply
    9,731x = 13,428.78 × 5,315
  4. Step 4: Simplify right side
    9,731x = 71,373,965.70
  5. Step 5: Solve for x
    x = 71,373,965.70/9,731
  6. Step 6: Final answer
    x = 7,334.70

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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.