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Finding the Fourth Proportional to 8,531.64, 12,783.51 and 5,237.82

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Solution

The fourth proportional to 8,531.64, 12,783.51 and 5,237.82 is: 7,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.64 : 12,783.51 = 5,237.82 : x
  2. Step 2: Convert to fraction form
    8,531.64/12,783.51 = 5,237.82/x
  3. Step 3: Cross multiply
    8,531.64x = 12,783.51 × 5,237.82
  4. Step 4: Simplify right side
    8,531.64x = 66,957,724.35
  5. Step 5: Solve for x
    x = 66,957,724.35/8,531.64
  6. Step 6: Final answer
    x = 7,848.17

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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.