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Finding the Fourth Proportional to 9,166.25, 12,652.71 and 5,440.25

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Solution

The fourth proportional to 9,166.25, 12,652.71 and 5,440.25 is: 7,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.25 : 12,652.71 = 5,440.25 : x
  2. Step 2: Convert to fraction form
    9,166.25/12,652.71 = 5,440.25/x
  3. Step 3: Cross multiply
    9,166.25x = 12,652.71 × 5,440.25
  4. Step 4: Simplify right side
    9,166.25x = 68,833,878.38
  5. Step 5: Solve for x
    x = 68,833,878.38/9,166.25
  6. Step 6: Final answer
    x = 7,509.49

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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.