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Finding the Fourth Proportional to 7,068, 10,602 and 2,137.53

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Solution

The fourth proportional to 7,068, 10,602 and 2,137.53 is: 3,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068 : 10,602 = 2,137.53 : x
  2. Step 2: Convert to fraction form
    7,068/10,602 = 2,137.53/x
  3. Step 3: Cross multiply
    7,068x = 10,602 × 2,137.53
  4. Step 4: Simplify right side
    7,068x = 22,662,093.06
  5. Step 5: Solve for x
    x = 22,662,093.06/7,068
  6. Step 6: Final answer
    x = 3,206.30

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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.