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Finding the Fourth Proportional to 3,437.67, 5,156.42 and 972.47

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Solution

The fourth proportional to 3,437.67, 5,156.42 and 972.47 is: 1,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.67 : 5,156.42 = 972.47 : x
  2. Step 2: Convert to fraction form
    3,437.67/5,156.42 = 972.47/x
  3. Step 3: Cross multiply
    3,437.67x = 5,156.42 × 972.47
  4. Step 4: Simplify right side
    3,437.67x = 5,014,433.11
  5. Step 5: Solve for x
    x = 5,014,433.11/3,437.67
  6. Step 6: Final answer
    x = 1,458.67

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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.