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Finding the Fourth Proportional to 10,175.80, 15,231.30 and 7,259.80

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Solution

The fourth proportional to 10,175.80, 15,231.30 and 7,259.80 is: 10,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.80 : 15,231.30 = 7,259.80 : x
  2. Step 2: Convert to fraction form
    10,175.80/15,231.30 = 7,259.80/x
  3. Step 3: Cross multiply
    10,175.80x = 15,231.30 × 7,259.80
  4. Step 4: Simplify right side
    10,175.80x = 110,576,191.74
  5. Step 5: Solve for x
    x = 110,576,191.74/10,175.80
  6. Step 6: Final answer
    x = 10,866.58

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1.5x scale

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.