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Finding the Fourth Proportional to 8,657.69, 12,986.54 and 4,957.37

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Solution

The fourth proportional to 8,657.69, 12,986.54 and 4,957.37 is: 7,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.69 : 12,986.54 = 4,957.37 : x
  2. Step 2: Convert to fraction form
    8,657.69/12,986.54 = 4,957.37/x
  3. Step 3: Cross multiply
    8,657.69x = 12,986.54 × 4,957.37
  4. Step 4: Simplify right side
    8,657.69x = 64,378,994.08
  5. Step 5: Solve for x
    x = 64,378,994.08/8,657.69
  6. Step 6: Final answer
    x = 7,436.05

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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.