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Finding the Fourth Proportional to 9,826, 13,557 and 5,845.12

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Solution

The fourth proportional to 9,826, 13,557 and 5,845.12 is: 8,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826 : 13,557 = 5,845.12 : x
  2. Step 2: Convert to fraction form
    9,826/13,557 = 5,845.12/x
  3. Step 3: Cross multiply
    9,826x = 13,557 × 5,845.12
  4. Step 4: Simplify right side
    9,826x = 79,242,291.84
  5. Step 5: Solve for x
    x = 79,242,291.84/9,826
  6. Step 6: Final answer
    x = 8,064.55

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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.