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Finding the Fourth Proportional to 9,052.86, 13,640.96 and 7,445.40

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Solution

The fourth proportional to 9,052.86, 13,640.96 and 7,445.40 is: 11,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.86 : 13,640.96 = 7,445.40 : x
  2. Step 2: Convert to fraction form
    9,052.86/13,640.96 = 7,445.40/x
  3. Step 3: Cross multiply
    9,052.86x = 13,640.96 × 7,445.40
  4. Step 4: Simplify right side
    9,052.86x = 101,562,366.36
  5. Step 5: Solve for x
    x = 101,562,366.36/9,052.86
  6. Step 6: Final answer
    x = 11,218.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.