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Finding the Fourth Proportional to 13,698.90, 18,904.41 and 7,411.23

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Solution

The fourth proportional to 13,698.90, 18,904.41 and 7,411.23 is: 10,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.90 : 18,904.41 = 7,411.23 : x
  2. Step 2: Convert to fraction form
    13,698.90/18,904.41 = 7,411.23/x
  3. Step 3: Cross multiply
    13,698.90x = 18,904.41 × 7,411.23
  4. Step 4: Simplify right side
    13,698.90x = 140,104,930.52
  5. Step 5: Solve for x
    x = 140,104,930.52/13,698.90
  6. Step 6: Final answer
    x = 10,227.46

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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.