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Finding the Fourth Proportional to 9,967.68, 13,749.12 and 6,606.72

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Solution

The fourth proportional to 9,967.68, 13,749.12 and 6,606.72 is: 9,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.68 : 13,749.12 = 6,606.72 : x
  2. Step 2: Convert to fraction form
    9,967.68/13,749.12 = 6,606.72/x
  3. Step 3: Cross multiply
    9,967.68x = 13,749.12 × 6,606.72
  4. Step 4: Simplify right side
    9,967.68x = 90,836,586.09
  5. Step 5: Solve for x
    x = 90,836,586.09/9,967.68
  6. Step 6: Final answer
    x = 9,113.11

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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.