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Finding the Fourth Proportional to 8,540.51, 12,792.78 and 7,237.40

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Solution

The fourth proportional to 8,540.51, 12,792.78 and 7,237.40 is: 10,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.51 : 12,792.78 = 7,237.40 : x
  2. Step 2: Convert to fraction form
    8,540.51/12,792.78 = 7,237.40/x
  3. Step 3: Cross multiply
    8,540.51x = 12,792.78 × 7,237.40
  4. Step 4: Simplify right side
    8,540.51x = 92,586,402.01
  5. Step 5: Solve for x
    x = 92,586,402.01/8,540.51
  6. Step 6: Final answer
    x = 10,840.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.