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Finding the Fourth Proportional to 13,159.62, 18,159.88 and 7,857.98

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Solution

The fourth proportional to 13,159.62, 18,159.88 and 7,857.98 is: 10,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.62 : 18,159.88 = 7,857.98 : x
  2. Step 2: Convert to fraction form
    13,159.62/18,159.88 = 7,857.98/x
  3. Step 3: Cross multiply
    13,159.62x = 18,159.88 × 7,857.98
  4. Step 4: Simplify right side
    13,159.62x = 142,699,973.84
  5. Step 5: Solve for x
    x = 142,699,973.84/13,159.62
  6. Step 6: Final answer
    x = 10,843.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.