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Finding the Fourth Proportional to 9,955.78, 13,734.84 and 6,177.67

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Solution

The fourth proportional to 9,955.78, 13,734.84 and 6,177.67 is: 8,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.78 : 13,734.84 = 6,177.67 : x
  2. Step 2: Convert to fraction form
    9,955.78/13,734.84 = 6,177.67/x
  3. Step 3: Cross multiply
    9,955.78x = 13,734.84 × 6,177.67
  4. Step 4: Simplify right side
    9,955.78x = 84,849,309.02
  5. Step 5: Solve for x
    x = 84,849,309.02/9,955.78
  6. Step 6: Final answer
    x = 8,522.62

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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.