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Finding the Fourth Proportional to 12,830, 19,189.40 and 7,552.44

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Solution

The fourth proportional to 12,830, 19,189.40 and 7,552.44 is: 11,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830 : 19,189.40 = 7,552.44 : x
  2. Step 2: Convert to fraction form
    12,830/19,189.40 = 7,552.44/x
  3. Step 3: Cross multiply
    12,830x = 19,189.40 × 7,552.44
  4. Step 4: Simplify right side
    12,830x = 144,926,792.14
  5. Step 5: Solve for x
    x = 144,926,792.14/12,830
  6. Step 6: Final answer
    x = 11,295.93

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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.