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Finding the Fourth Proportional to 9,355, 12,909.94 and 5,163.16

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Solution

The fourth proportional to 9,355, 12,909.94 and 5,163.16 is: 7,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355 : 12,909.94 = 5,163.16 : x
  2. Step 2: Convert to fraction form
    9,355/12,909.94 = 5,163.16/x
  3. Step 3: Cross multiply
    9,355x = 12,909.94 × 5,163.16
  4. Step 4: Simplify right side
    9,355x = 66,656,085.81
  5. Step 5: Solve for x
    x = 66,656,085.81/9,355
  6. Step 6: Final answer
    x = 7,125.18

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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.