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Finding the Fourth Proportional to 7,133.59, 10,695.83 and 3,428.45

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Solution

The fourth proportional to 7,133.59, 10,695.83 and 3,428.45 is: 5,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.59 : 10,695.83 = 3,428.45 : x
  2. Step 2: Convert to fraction form
    7,133.59/10,695.83 = 3,428.45/x
  3. Step 3: Cross multiply
    7,133.59x = 10,695.83 × 3,428.45
  4. Step 4: Simplify right side
    7,133.59x = 36,670,118.36
  5. Step 5: Solve for x
    x = 36,670,118.36/7,133.59
  6. Step 6: Final answer
    x = 5,140.49

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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.