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Finding the Fourth Proportional to 10,698.60, 14,763.79 and 5,918.42

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Solution

The fourth proportional to 10,698.60, 14,763.79 and 5,918.42 is: 8,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.60 : 14,763.79 = 5,918.42 : x
  2. Step 2: Convert to fraction form
    10,698.60/14,763.79 = 5,918.42/x
  3. Step 3: Cross multiply
    10,698.60x = 14,763.79 × 5,918.42
  4. Step 4: Simplify right side
    10,698.60x = 87,378,206.60
  5. Step 5: Solve for x
    x = 87,378,206.60/10,698.60
  6. Step 6: Final answer
    x = 8,167.26

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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.