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Finding the Fourth Proportional to 9,742.75, 13,445 and 5,551

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Solution

The fourth proportional to 9,742.75, 13,445 and 5,551 is: 7,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.75 : 13,445 = 5,551 : x
  2. Step 2: Convert to fraction form
    9,742.75/13,445 = 5,551/x
  3. Step 3: Cross multiply
    9,742.75x = 13,445 × 5,551
  4. Step 4: Simplify right side
    9,742.75x = 74,633,195
  5. Step 5: Solve for x
    x = 74,633,195/9,742.75
  6. Step 6: Final answer
    x = 7,660.38

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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.