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Finding the Fourth Proportional to 13,710.91, 18,920.91 and 7,742.23

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Solution

The fourth proportional to 13,710.91, 18,920.91 and 7,742.23 is: 10,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.91 : 18,920.91 = 7,742.23 : x
  2. Step 2: Convert to fraction form
    13,710.91/18,920.91 = 7,742.23/x
  3. Step 3: Cross multiply
    13,710.91x = 18,920.91 × 7,742.23
  4. Step 4: Simplify right side
    13,710.91x = 146,490,037.03
  5. Step 5: Solve for x
    x = 146,490,037.03/13,710.91
  6. Step 6: Final answer
    x = 10,684.20

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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.