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Finding the Fourth Proportional to 8,431, 12,637.86 and 3,503.50

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Solution

The fourth proportional to 8,431, 12,637.86 and 3,503.50 is: 5,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431 : 12,637.86 = 3,503.50 : x
  2. Step 2: Convert to fraction form
    8,431/12,637.86 = 3,503.50/x
  3. Step 3: Cross multiply
    8,431x = 12,637.86 × 3,503.50
  4. Step 4: Simplify right side
    8,431x = 44,276,742.51
  5. Step 5: Solve for x
    x = 44,276,742.51/8,431
  6. Step 6: Final answer
    x = 5,251.66

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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.