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Finding the Fourth Proportional to 13,730.51, 18,949.07 and 7,762.23

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Solution

The fourth proportional to 13,730.51, 18,949.07 and 7,762.23 is: 10,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.51 : 18,949.07 = 7,762.23 : x
  2. Step 2: Convert to fraction form
    13,730.51/18,949.07 = 7,762.23/x
  3. Step 3: Cross multiply
    13,730.51x = 18,949.07 × 7,762.23
  4. Step 4: Simplify right side
    13,730.51x = 147,087,059.03
  5. Step 5: Solve for x
    x = 147,087,059.03/13,730.51
  6. Step 6: Final answer
    x = 10,712.42

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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.