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Finding the Fourth Proportional to 7,289.14, 10,059 and 3,977.14

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Solution

The fourth proportional to 7,289.14, 10,059 and 3,977.14 is: 5,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.14 : 10,059 = 3,977.14 : x
  2. Step 2: Convert to fraction form
    7,289.14/10,059 = 3,977.14/x
  3. Step 3: Cross multiply
    7,289.14x = 10,059 × 3,977.14
  4. Step 4: Simplify right side
    7,289.14x = 40,006,051.26
  5. Step 5: Solve for x
    x = 40,006,051.26/7,289.14
  6. Step 6: Final answer
    x = 5,488.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.