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Finding the Fourth Proportional to 13,700.79, 18,907.97 and 7,730.28

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Solution

The fourth proportional to 13,700.79, 18,907.97 and 7,730.28 is: 10,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.79 : 18,907.97 = 7,730.28 : x
  2. Step 2: Convert to fraction form
    13,700.79/18,907.97 = 7,730.28/x
  3. Step 3: Cross multiply
    13,700.79x = 18,907.97 × 7,730.28
  4. Step 4: Simplify right side
    13,700.79x = 146,163,863.68
  5. Step 5: Solve for x
    x = 146,163,863.68/13,700.79
  6. Step 6: Final answer
    x = 10,668.28

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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.