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Finding the Fourth Proportional to 3,368, 5,052 and 1,059.50

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Solution

The fourth proportional to 3,368, 5,052 and 1,059.50 is: 1,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368 : 5,052 = 1,059.50 : x
  2. Step 2: Convert to fraction form
    3,368/5,052 = 1,059.50/x
  3. Step 3: Cross multiply
    3,368x = 5,052 × 1,059.50
  4. Step 4: Simplify right side
    3,368x = 5,352,594
  5. Step 5: Solve for x
    x = 5,352,594/3,368
  6. Step 6: Final answer
    x = 1,589.25

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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.