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Finding the Fourth Proportional to 13,798.96, 19,042.20 and 7,511.20

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Solution

The fourth proportional to 13,798.96, 19,042.20 and 7,511.20 is: 10,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.96 : 19,042.20 = 7,511.20 : x
  2. Step 2: Convert to fraction form
    13,798.96/19,042.20 = 7,511.20/x
  3. Step 3: Cross multiply
    13,798.96x = 19,042.20 × 7,511.20
  4. Step 4: Simplify right side
    13,798.96x = 143,029,772.64
  5. Step 5: Solve for x
    x = 143,029,772.64/13,798.96
  6. Step 6: Final answer
    x = 10,365.26

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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.