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Finding the Fourth Proportional to 7,005.23, 10,507.85 and 1,811.11

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Solution

The fourth proportional to 7,005.23, 10,507.85 and 1,811.11 is: 2,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.23 : 10,507.85 = 1,811.11 : x
  2. Step 2: Convert to fraction form
    7,005.23/10,507.85 = 1,811.11/x
  3. Step 3: Cross multiply
    7,005.23x = 10,507.85 × 1,811.11
  4. Step 4: Simplify right side
    7,005.23x = 19,030,868.48
  5. Step 5: Solve for x
    x = 19,030,868.48/7,005.23
  6. Step 6: Final answer
    x = 2,716.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.