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Finding the Fourth Proportional to 9,160.98, 13,720.08 and 6,689.67

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Solution

The fourth proportional to 9,160.98, 13,720.08 and 6,689.67 is: 10,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.98 : 13,720.08 = 6,689.67 : x
  2. Step 2: Convert to fraction form
    9,160.98/13,720.08 = 6,689.67/x
  3. Step 3: Cross multiply
    9,160.98x = 13,720.08 × 6,689.67
  4. Step 4: Simplify right side
    9,160.98x = 91,782,807.57
  5. Step 5: Solve for x
    x = 91,782,807.57/9,160.98
  6. Step 6: Final answer
    x = 10,018.89

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1.5x scale

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.