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Finding the Fourth Proportional to 3,544.76, 5,317.14 and 947.63

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Solution

The fourth proportional to 3,544.76, 5,317.14 and 947.63 is: 1,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.76 : 5,317.14 = 947.63 : x
  2. Step 2: Convert to fraction form
    3,544.76/5,317.14 = 947.63/x
  3. Step 3: Cross multiply
    3,544.76x = 5,317.14 × 947.63
  4. Step 4: Simplify right side
    3,544.76x = 5,038,654.79
  5. Step 5: Solve for x
    x = 5,038,654.79/3,544.76
  6. Step 6: Final answer
    x = 1,421.44

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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.