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Finding the Fourth Proportional to 9,211.16, 12,718.90 and 7,509.94

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Solution

The fourth proportional to 9,211.16, 12,718.90 and 7,509.94 is: 10,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.16 : 12,718.90 = 7,509.94 : x
  2. Step 2: Convert to fraction form
    9,211.16/12,718.90 = 7,509.94/x
  3. Step 3: Cross multiply
    9,211.16x = 12,718.90 × 7,509.94
  4. Step 4: Simplify right side
    9,211.16x = 95,518,175.87
  5. Step 5: Solve for x
    x = 95,518,175.87/9,211.16
  6. Step 6: Final answer
    x = 10,369.83

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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.